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Termination proof of /tmp/aprovefuYg9c.c

(0) Obligation:

c file /tmp/aprovefuYg9c.c

(1) CToLLVMProof (EQUIVALENT transformation)

Compiled c-file /tmp/aprovefuYg9c.c to LLVM.

(2) Obligation:

LLVM Problem

Aliases:
Data layout:
"e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128-n8:16:32:64-S128"
Machine:
"x86_64-pc-linux-gnu"
Type definitions:
Global variables:
Function declarations and definitions:
  • BasicFunctionType
    name: main
    returnParam: i32
    parameters: ()
    variableLength: false
    visibilityType: DEFAULT
    callingConvention: ccc

    Basic blocks:
    0:
    %1 = alloca i32, align 4
    %a = alloca i32, align 4
    %b = alloca i32, align 4
    store 0, %1
    store 1, %b
    br %2
    2:
    %3 = load %a
    %4 = load %b
    %5 = add %3 %4
    %6 = icmp sge %5 4
    br %6, %7, %15
    7:
    %8 = load %a
    %9 = mul 3 %8
    %10 = load %b
    %11 = add %9 %10
    store %11, %a
    %12 = load %b
    %13 = mul 2 %12
    %14 = sub %13 5
    store %14, %b
    br %2
    15:
    %16 = load %1
    ret %16


Analyze Termination of all function calls matching the pattern:
main()

(3) LLVMToTerminationGraphProof (EQUIVALENT transformation)

Constructed symbolic execution graph for LLVM program and proved memory safety.

(4) Obligation:

Symbolic Execution Graph based on LLVM Program:


(5) SymbolicExecutionGraphToLassoProof (EQUIVALENT transformation)

Converted SEGraph to 1 independent lasso.

(6) Obligation:

Lasso

(7) Lasso2IRS (SOUND transformation)

Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log:
Generated rules. Obtained 43 rules
P rules:
f_131(v83, v84, v85, v91, v87, v88, 1, v86, v90, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_132(v83, v84, v85, v91, v93, v88, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: 0 = 0
f_132(v83, v84, v85, v91, v93, v88, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) :|: v98 = v91 + v93
f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) → f_134(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: 4 <= v98 && 7 <= v91
f_134(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_136(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: 0 = 0
f_136(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_138(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: TRUE
f_138(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_140(v83, v84, v85, v91, v93, v98, 1, v90, v87, v92, v94, v95, v96, 0, 3, 4, v86, 2, 5, v88, 9, 7) :|: 0 = 0
f_140(v83, v84, v85, v91, v93, v98, 1, v90, v87, v92, v94, v95, v96, 0, 3, 4, v86, 2, 5, v88, 9, 7) → f_142(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: v99 = 3 * v91 && 21 <= v99
f_142(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_143(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: 0 = 0
f_143(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_144(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: v100 = v99 + v93
f_144(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_145(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: TRUE
f_145(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_146(v83, v84, v85, v91, v93, v98, 1, v99, v100, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, v87, 5, v88, 9, 7, 21) :|: 0 = 0
f_146(v83, v84, v85, v91, v93, v98, 1, v99, v100, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, v87, 5, v88, 9, 7, 21) → f_147(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6) :|: v102 = 2 * v93 && 6 + v102 <= 0
f_147(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6) → f_148(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: 5 + v103 = v102 && 11 + v103 <= 0
f_148(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_149(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: TRUE
f_149(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_150(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: TRUE
f_150(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_130(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: TRUE
f_130(v83, v84, v85, v86, v87, v88, 1, v90, v91, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_131(v83, v84, v85, v91, v87, v88, 1, v86, v90, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: 0 = 0
f_25f_26(v1, v2, 3, 4, 0, 1) :|: 1 <= v1 && v2 = 3 + v1 && v1 % 4 = 0 && 4 <= v2
f_26(v1, v2, 3, 4, 0, 1) → f_27(v1, v3, v2, v4, 3, 4, 0, 1) :|: 1 <= v3 && v4 = 3 + v3 && v3 % 4 = 0 && 4 <= v4
f_27(v1, v3, v2, v4, 3, 4, 0, 1) → f_28(v1, v3, v5, v2, v4, v6, 3, 4, 0, 1) :|: 1 <= v5 && v6 = 3 + v5 && v5 % 4 = 0 && 4 <= v6
f_28(v1, v3, v5, v2, v4, v6, 3, 4, 0, 1) → f_29(v1, v3, v5, v2, v4, v6, 0, 3, 4, 1) :|: TRUE
f_29(v1, v3, v5, v2, v4, v6, 0, 3, 4, 1) → f_30(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) :|: TRUE
f_30(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) → f_31(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) :|: TRUE
f_31(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) → f_32(v1, v3, v5, v7, v2, v4, v6, 0, 1, 3, 4) :|: TRUE
f_32(v1, v3, v5, v7, v2, v4, v6, 0, 1, 3, 4) → f_33(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_33(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) → f_34(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: v9 = 1 + v7
f_34(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_35(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: 4 <= v9 && 3 <= v7
f_35(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_37(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_37(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_39(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: TRUE
f_39(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_41(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_41(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_43(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) :|: v10 = 3 * v7 && 9 <= v10
f_43(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) → f_44(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) :|: 0 = 0
f_44(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) → f_45(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) :|: v11 = 1 + v10 && 10 <= v11
f_45(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) → f_46(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) :|: TRUE
f_46(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) → f_47(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) :|: 0 = 0
f_47(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) → f_48(v1, v3, v5, v7, 1, v9, v10, v11, 2, v2, v4, v6, 0, 3, 4, 9, 10) :|: 0 = 0
f_48(v1, v3, v5, v7, 1, v9, v10, v11, 2, v2, v4, v6, 0, 3, 4, 9, 10) → f_49(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) :|: 0 = 0
f_49(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) → f_50(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) :|: TRUE
f_50(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) → f_51(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) :|: TRUE
f_51(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) → f_67(v1, v3, v5, v7, 1, v9, 1, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 2, 5, 9, 10, 6, 11) :|: TRUE
f_67(v17, v18, v19, v20, v21, v22, 1, v24, v25, v26, v27, v28, v29, v30, 0, 3, 4, 2, 5, 9, 10, 6, 11) → f_88(v17, v18, v19, v20, v21, v22, 1, v24, v25, v26, v27, v28, v29, v30, 0, 3, 4, 2, 5, 11, 9, 10, 22, 27) :|: TRUE
f_88(v39, v40, v41, v42, v43, v44, 1, v46, v47, v48, v49, v50, v51, v52, 0, 3, 4, 2, 5, 11, 9, 10, 22, 27) → f_109(v39, v40, v41, v42, v43, v44, 1, v46, v47, v48, v49, v50, v51, v52, 0, 3, 4, 2, 5, 9) :|: TRUE
f_109(v61, v62, v63, v64, v65, v66, 1, v68, v69, v70, v71, v72, v73, v74, 0, 3, 4, 2, 5, 9) → f_130(v61, v62, v63, v64, v65, v66, 1, v68, v69, v70, v71, v72, v73, v74, 0, 3, 4, 2, 5, 9) :|: TRUE
Combined rules. Obtained 2 rules
P rules:
f_131(v83:0, v84:0, v85:0, v91:0, v87:0, v88:0, 1, v86:0, v90:0, v92:0, v93:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, 9) → f_131(v83:0, v84:0, v85:0, 3 * v91:0 + v93:0, v93:0, v91:0 + v93:0, 1, v91:0, 3 * v91:0, 5 + v103:0, v103:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, 9) :|: v91:0 > 6 && v91:0 + v93:0 > 3 && 3 * v91:0 > 20 && v103:0 < -10 && 5 + v103:0 = 2 * v93:0
f_25f_131(v1:0, v3:0, v5:0, 1 + 3 * v7:0, 1, 1 + v7:0, 1, v7:0, 3 * v7:0, 2, -3, 3 + v1:0, 3 + v3:0, 3 + v5:0, 0, 3, 4, 2, 5, 9) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v3:0 % 4 = 0 && v1:0 % 4 = 0 && v5:0 % 4 = 0 && v7:0 > 2 && 8 < 3 * v7:0
Filtered unneeded arguments:

f_131(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) → f_131(x4, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.
P rules:
f_131(v91:0, v93:0) → f_131(3 * v91:0 + v93:0, v103:0) :|: v91:0 + v93:0 > 3 && v91:0 > 6 && 3 * v91:0 > 20 && 5 + v103:0 = 2 * v93:0 && v103:0 < -10
f_25f_131(1 + 3 * v7:0, -3) :|: v7:0 > 2 && 8 < 3 * v7:0

(8) Obligation:

Rules:
f_131(v91:0, v93:0) → f_131(3 * v91:0 + v93:0, v103:0) :|: v91:0 + v93:0 > 3 && v91:0 > 6 && 3 * v91:0 > 20 && 5 + v103:0 = 2 * v93:0 && v103:0 < -10
f_25f_131(1 + 3 * v7:0, -3) :|: v7:0 > 2 && 8 < 3 * v7:0
Start term: f_25

(9) IRS2T2 (EQUIVALENT transformation)

Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

f_131_2 → 1
f_25_2 → 2

(10) Obligation:

START: 2;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
assume(oldX0 + oldX1 > 3 && oldX0 > 6 && 3 * oldX0 > 20 && 5 + oldX2 = 2 * oldX1 && oldX2 < -10);
x0 := 3 * oldX0 + oldX1;
x1 := oldX2;
TO: 1;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
assume(oldX2 > 2 && 8 < 3 * oldX2);
x0 := 1 + 3 * oldX2;
x1 := -3;
TO: 1;

(11) SymbolicExecutionGraphToSCCProof (SOUND transformation)

Splitted symbolic execution graph to 1 SCC.

(12) Obligation:

SCC

(13) SCC2IRS (SOUND transformation)

Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log:
Generated rules. Obtained 17 rules
P rules:
f_131(v83, v84, v85, v91, v87, v88, 1, v86, v90, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_132(v83, v84, v85, v91, v93, v88, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: 0 = 0
f_132(v83, v84, v85, v91, v93, v88, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) :|: v98 = v91 + v93
f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) → f_134(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: 4 <= v98 && 7 <= v91
f_134(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_136(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: 0 = 0
f_136(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_138(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: TRUE
f_138(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_140(v83, v84, v85, v91, v93, v98, 1, v90, v87, v92, v94, v95, v96, 0, 3, 4, v86, 2, 5, v88, 9, 7) :|: 0 = 0
f_140(v83, v84, v85, v91, v93, v98, 1, v90, v87, v92, v94, v95, v96, 0, 3, 4, v86, 2, 5, v88, 9, 7) → f_142(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: v99 = 3 * v91 && 21 <= v99
f_142(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_143(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: 0 = 0
f_143(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_144(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: v100 = v99 + v93
f_144(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_145(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: TRUE
f_145(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_146(v83, v84, v85, v91, v93, v98, 1, v99, v100, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, v87, 5, v88, 9, 7, 21) :|: 0 = 0
f_146(v83, v84, v85, v91, v93, v98, 1, v99, v100, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, v87, 5, v88, 9, 7, 21) → f_147(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6) :|: v102 = 2 * v93 && 6 + v102 <= 0
f_147(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6) → f_148(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: 5 + v103 = v102 && 11 + v103 <= 0
f_148(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_149(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: TRUE
f_149(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_150(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: TRUE
f_150(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_130(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: TRUE
f_130(v83, v84, v85, v86, v87, v88, 1, v90, v91, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_131(v83, v84, v85, v91, v87, v88, 1, v86, v90, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: 0 = 0
Combined rules. Obtained 1 rules
P rules:
f_131(v83:0, v84:0, v85:0, v91:0, v87:0, v88:0, 1, v86:0, v90:0, v92:0, v93:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, 9) → f_131(v83:0, v84:0, v85:0, 3 * v91:0 + v93:0, v93:0, v91:0 + v93:0, 1, v91:0, 3 * v91:0, 5 + v103:0, v103:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, 9) :|: v91:0 > 6 && v91:0 + v93:0 > 3 && 3 * v91:0 > 20 && v103:0 < -10 && 5 + v103:0 = 2 * v93:0
Filtered unneeded arguments:

f_131(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) → f_131(x4, x11)
Removed division, modulo operations, cleaned up constraints. Obtained 1 rules.
P rules:
f_131(v91:0, v93:0) → f_131(3 * v91:0 + v93:0, v103:0) :|: v91:0 + v93:0 > 3 && v91:0 > 6 && 3 * v91:0 > 20 && 5 + v103:0 = 2 * v93:0 && v103:0 < -10

(14) Obligation:

Rules:
f_131(v91:0, v93:0) → f_131(3 * v91:0 + v93:0, v103:0) :|: v91:0 + v93:0 > 3 && v91:0 > 6 && 3 * v91:0 > 20 && 5 + v103:0 = 2 * v93:0 && v103:0 < -10

(15) IRS2T2 (EQUIVALENT transformation)

Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

f_131_2 → 1

(16) Obligation:

START: 0;

FROM: 0;
TO: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := nondet();
assume(oldX0 + oldX1 > 3 && oldX0 > 6 && 3 * oldX0 > 20 && 5 + oldX2 = 2 * oldX1 && oldX2 < -10);
x0 := 3 * oldX0 + oldX1;
x1 := oldX2;
TO: 1;

(17) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(18) Obligation:

Rules:
f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: 5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3

(19) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: 5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3
has been transformed into
f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: v93:0:0 = x8 && (v91:0:0 = 3 * x6 + x7 && (5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3)) && 5 + x8 = 2 * x7 && x8 < -10 && 3 * x6 > 20 && x6 > 6 && x6 + x7 > 3.


f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: v93:0:0 = x8 && (v91:0:0 = 3 * x6 + x7 && (5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3)) && 5 + x8 = 2 * x7 && x8 < -10 && 3 * x6 > 20 && x6 > 6 && x6 + x7 > 3 and
f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: v93:0:0 = x8 && (v91:0:0 = 3 * x6 + x7 && (5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3)) && 5 + x8 = 2 * x7 && x8 < -10 && 3 * x6 > 20 && x6 > 6 && x6 + x7 > 3
have been merged into the new rule
f_131(x21, x22) → f_131(3 * (3 * x21 + x22) + x23, x24) :|: x22 = x25 && (x21 = 3 * x26 + x27 && (5 + x23 = 2 * x22 && x23 < -10 && 3 * x21 > 20 && x21 > 6 && x21 + x22 > 3)) && 5 + x25 = 2 * x27 && x25 < -10 && 3 * x26 > 20 && x26 > 6 && x26 + x27 > 3 && (x23 = x28 && (3 * x21 + x22 = 3 * x29 + x30 && (5 + x24 = 2 * x23 && x24 < -10 && 3 * (3 * x21 + x22) > 20 && 3 * x21 + x22 > 6 && 3 * x21 + x22 + x23 > 3)) && 5 + x28 = 2 * x30 && x28 < -10 && 3 * x29 > 20 && x29 > 6 && x29 + x30 > 3)

(20) Obligation:

Rules:
f_131(x31, x32) → f_131(9 * x31 + 3 * x32 + x33, x34) :|: TRUE && x32 + -1 * x35 = 0 && x31 + -3 * x36 + -1 * x37 = 0 && x33 + -2 * x32 = -5 && x33 <= -11 && x31 >= 7 && x31 + x32 >= 4 && x35 + -2 * x37 = -5 && x35 <= -11 && x36 >= 7 && x36 + x37 >= 4 && x33 + -1 * x38 = 0 && 3 * x31 + x32 + -3 * x39 + -1 * x40 = 0 && x34 + -2 * x33 = -5 && x34 <= -11 && 3 * x31 + x32 >= 7 && 3 * x31 + x32 + x33 >= 4 && x38 + -2 * x40 = -5 && x38 <= -11 && x39 >= 7 && x39 + x40 >= 4

(21) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(22) Obligation:

Rules:
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x39:0 > 6 && x39:0 + x40:0 >= 4 && x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x36:0 > 6 && x35:0 < -10 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x31:0 > 6 && x33:0 < -10 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0

(23) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x39:0 > 6 && x39:0 + x40:0 >= 4 && x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x36:0 > 6 && x35:0 < -10 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x31:0 > 6 && x33:0 < -10 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0
has been transformed into
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x39:0 > 6 && x39:0 + x40:0 >= 4 && x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x36:0 > 6 && x35:0 < -10 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x31:0 > 6 && x33:0 < -10 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && 4 <= 3 * x20 + x21 + x22 && 7 <= 3 * x20 + x21 && x23 < -10 && x23 + -2 * x22 = -5 && x20 + x21 >= 4 && x20 > 6 && x22 < -10 && x22 + -2 * x21 = -5.


f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x39:0 > 6 && x39:0 + x40:0 >= 4 && x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x36:0 > 6 && x35:0 < -10 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x31:0 > 6 && x33:0 < -10 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && 4 <= 3 * x20 + x21 + x22 && 7 <= 3 * x20 + x21 && x23 < -10 && x23 + -2 * x22 = -5 && x20 + x21 >= 4 && x20 > 6 && x22 < -10 && x22 + -2 * x21 = -5 and
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x39:0 > 6 && x39:0 + x40:0 >= 4 && x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x36:0 > 6 && x35:0 < -10 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x31:0 > 6 && x33:0 < -10 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && 4 <= 3 * x20 + x21 + x22 && 7 <= 3 * x20 + x21 && x23 < -10 && x23 + -2 * x22 = -5 && x20 + x21 >= 4 && x20 > 6 && x22 < -10 && x22 + -2 * x21 = -5
have been merged into the new rule
f_131(x58, x59) → f_131(9 * (9 * x58 + 3 * x59 + x60) + 3 * x61 + x62, x63) :|: x59 = x64 && (x58 = 9 * x65 + 3 * x66 + x67 && (x68 > 6 && x68 + x69 >= 4 && x70 < -10 && x70 + -2 * x69 = -5 && 4 <= 3 * x58 + x59 + x60 && 7 <= 3 * x58 + x59 && x61 < -10 && x61 + -2 * x60 = -5 && 3 * x58 + x59 + -3 * x68 + -1 * x69 = 0 && x60 + -1 * x70 = 0 && x71 + x72 >= 4 && x71 > 6 && x73 < -10 && x73 + -2 * x72 = -5 && x58 + x59 >= 4 && x58 > 6 && x60 < -10 && x60 + -2 * x59 = -5 && x59 + -1 * x73 = 0 && x58 + -3 * x71 + -1 * x72 = 0)) && 4 <= 3 * x65 + x66 + x67 && 7 <= 3 * x65 + x66 && x64 < -10 && x64 + -2 * x67 = -5 && x65 + x66 >= 4 && x65 > 6 && x67 < -10 && x67 + -2 * x66 = -5 && (x61 = x74 && (9 * x58 + 3 * x59 + x60 = 9 * x75 + 3 * x76 + x77 && (x78 > 6 && x78 + x79 >= 4 && x80 < -10 && x80 + -2 * x79 = -5 && 4 <= 3 * (9 * x58 + 3 * x59 + x60) + x61 + x62 && 7 <= 3 * (9 * x58 + 3 * x59 + x60) + x61 && x63 < -10 && x63 + -2 * x62 = -5 && 3 * (9 * x58 + 3 * x59 + x60) + x61 + -3 * x78 + -1 * x79 = 0 && x62 + -1 * x80 = 0 && x81 + x82 >= 4 && x81 > 6 && x83 < -10 && x83 + -2 * x82 = -5 && 9 * x58 + 3 * x59 + x60 + x61 >= 4 && 9 * x58 + 3 * x59 + x60 > 6 && x62 < -10 && x62 + -2 * x61 = -5 && x61 + -1 * x83 = 0 && 9 * x58 + 3 * x59 + x60 + -3 * x81 + -1 * x82 = 0)) && 4 <= 3 * x75 + x76 + x77 && 7 <= 3 * x75 + x76 && x74 < -10 && x74 + -2 * x77 = -5 && x75 + x76 >= 4 && x75 > 6 && x77 < -10 && x77 + -2 * x76 = -5)

(24) Obligation:

Rules:
f_131(x84, x85) → f_131(81 * x84 + 27 * x85 + 9 * x86 + 3 * x87 + x88, x89) :|: TRUE && x85 + -1 * x90 = 0 && x84 + -9 * x91 + -3 * x92 + -1 * x93 = 0 && x94 >= 7 && x94 + x95 >= 4 && x96 <= -11 && x96 + -2 * x95 = -5 && -3 * x84 + -1 * x85 + -1 * x86 <= -4 && -3 * x84 + -1 * x85 <= -7 && x87 <= -11 && x87 + -2 * x86 = -5 && 3 * x84 + x85 + -3 * x94 + -1 * x95 = 0 && x86 + -1 * x96 = 0 && x97 + x98 >= 4 && x97 >= 7 && x99 <= -11 && x99 + -2 * x98 = -5 && x84 + x85 >= 4 && x84 >= 7 && x86 <= -11 && x86 + -2 * x85 = -5 && x85 + -1 * x99 = 0 && x84 + -3 * x97 + -1 * x98 = 0 && -3 * x91 + -1 * x92 + -1 * x93 <= -4 && -3 * x91 + -1 * x92 <= -7 && x90 <= -11 && x90 + -2 * x93 = -5 && x91 + x92 >= 4 && x91 >= 7 && x93 <= -11 && x93 + -2 * x92 = -5 && x87 + -1 * x100 = 0 && 9 * x84 + 3 * x85 + x86 + -9 * x101 + -3 * x102 + -1 * x103 = 0 && x104 >= 7 && x104 + x105 >= 4 && x106 <= -11 && x106 + -2 * x105 = -5 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 + -1 * x88 <= -4 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 <= -7 && x89 <= -11 && x89 + -2 * x88 = -5 && 27 * x84 + 9 * x85 + 3 * x86 + x87 + -3 * x104 + -1 * x105 = 0 && x88 + -1 * x106 = 0 && x107 + x108 >= 4 && x107 >= 7 && x109 <= -11 && x109 + -2 * x108 = -5 && 9 * x84 + 3 * x85 + x86 + x87 >= 4 && 9 * x84 + 3 * x85 + x86 >= 7 && x88 <= -11 && x88 + -2 * x87 = -5 && x87 + -1 * x109 = 0 && 9 * x84 + 3 * x85 + x86 + -3 * x107 + -1 * x108 = 0 && -3 * x101 + -1 * x102 + -1 * x103 <= -4 && -3 * x101 + -1 * x102 <= -7 && x100 <= -11 && x100 + -2 * x103 = -5 && x101 + x102 >= 4 && x101 >= 7 && x103 <= -11 && x103 + -2 * x102 = -5

(25) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(26) Obligation:

Rules:
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && x101:0 > 6 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x109:0 < -10 && x107:0 > 6 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x104:0 + -1 * x105:0 = 0 && x89:0 + -2 * x88:0 = -5 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x105:0 = -5 && x106:0 < -10 && x104:0 + x105:0 >= 4 && x104:0 > 6 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x93:0 < -10 && x91:0 > 6 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x86:0 < -10 && x84:0 > 6 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x99:0 < -10 && x97:0 > 6 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x94:0 + -1 * x95:0 = 0 && x87:0 + -2 * x86:0 = -5 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x95:0 = -5 && x96:0 < -10 && x94:0 + x95:0 >= 4 && x94:0 > 6 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0

(27) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && x101:0 > 6 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x109:0 < -10 && x107:0 > 6 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x104:0 + -1 * x105:0 = 0 && x89:0 + -2 * x88:0 = -5 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x105:0 = -5 && x106:0 < -10 && x104:0 + x105:0 >= 4 && x104:0 > 6 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x93:0 < -10 && x91:0 > 6 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x86:0 < -10 && x84:0 > 6 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x99:0 < -10 && x97:0 > 6 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x94:0 + -1 * x95:0 = 0 && x87:0 + -2 * x86:0 = -5 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x95:0 = -5 && x96:0 < -10 && x94:0 + x95:0 >= 4 && x94:0 > 6 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0
has been transformed into
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && x101:0 > 6 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x109:0 < -10 && x107:0 > 6 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x104:0 + -1 * x105:0 = 0 && x89:0 + -2 * x88:0 = -5 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x105:0 = -5 && x106:0 < -10 && x104:0 + x105:0 >= 4 && x104:0 > 6 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x93:0 < -10 && x91:0 > 6 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x86:0 < -10 && x84:0 > 6 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x99:0 < -10 && x97:0 > 6 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x94:0 + -1 * x95:0 = 0 && x87:0 + -2 * x86:0 = -5 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x95:0 = -5 && x96:0 < -10 && x94:0 + x95:0 >= 4 && x94:0 > 6 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && x56 + -2 * x55 = -5 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && x57 + -2 * x56 = -5 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x54 + -2 * x53 = -5 && x54 < -10 && x52 > 6 && x52 + x53 >= 4 && x55 + -2 * x54 = -5 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54.


f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && x101:0 > 6 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x109:0 < -10 && x107:0 > 6 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x104:0 + -1 * x105:0 = 0 && x89:0 + -2 * x88:0 = -5 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x105:0 = -5 && x106:0 < -10 && x104:0 + x105:0 >= 4 && x104:0 > 6 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x93:0 < -10 && x91:0 > 6 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x86:0 < -10 && x84:0 > 6 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x99:0 < -10 && x97:0 > 6 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x94:0 + -1 * x95:0 = 0 && x87:0 + -2 * x86:0 = -5 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x95:0 = -5 && x96:0 < -10 && x94:0 + x95:0 >= 4 && x94:0 > 6 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && x56 + -2 * x55 = -5 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && x57 + -2 * x56 = -5 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x54 + -2 * x53 = -5 && x54 < -10 && x52 > 6 && x52 + x53 >= 4 && x55 + -2 * x54 = -5 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 and
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && x101:0 > 6 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x109:0 < -10 && x107:0 > 6 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x104:0 + -1 * x105:0 = 0 && x89:0 + -2 * x88:0 = -5 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x105:0 = -5 && x106:0 < -10 && x104:0 + x105:0 >= 4 && x104:0 > 6 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x93:0 < -10 && x91:0 > 6 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x86:0 < -10 && x84:0 > 6 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x99:0 < -10 && x97:0 > 6 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x94:0 + -1 * x95:0 = 0 && x87:0 + -2 * x86:0 = -5 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x95:0 = -5 && x96:0 < -10 && x94:0 + x95:0 >= 4 && x94:0 > 6 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && x56 + -2 * x55 = -5 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && x57 + -2 * x56 = -5 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x54 + -2 * x53 = -5 && x54 < -10 && x52 > 6 && x52 + x53 >= 4 && x55 + -2 * x54 = -5 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54
have been merged into the new rule
f_131(x142, x143) → f_131(81 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 27 * x147 + 9 * x148 + 3 * x149 + x150, x151) :|: x143 = x152 && (x142 = 81 * x153 + 27 * x154 + 9 * x155 + 3 * x156 + x157 && (x158 < -10 && x158 + -2 * x159 = -5 && x160 > 6 && x160 + x159 >= 4 && x161 + -2 * x158 = -5 && x161 < -10 && -7 >= -3 * x160 + -1 * x159 && -4 >= -3 * x160 + -1 * x159 + -1 * x158 && 9 * x142 + 3 * x143 + x144 + -3 * x162 + -1 * x163 = 0 && x145 + -1 * x164 = 0 && x146 + -2 * x145 = -5 && x146 < -10 && 9 * x142 + 3 * x143 + x144 >= 7 && 9 * x142 + 3 * x143 + x144 + x145 >= 4 && x164 + -2 * x163 = -5 && x164 < -10 && x162 > 6 && x162 + x163 >= 4 && x146 + -1 * x165 = 0 && 27 * x142 + 9 * x143 + 3 * x144 + x145 + -3 * x166 + -1 * x167 = 0 && x147 + -2 * x146 = -5 && x147 < -10 && -7 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 && -4 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 + -1 * x146 && x165 + -2 * x167 = -5 && x165 < -10 && x166 + x167 >= 4 && x166 > 6 && 9 * x142 + 3 * x143 + x144 + -9 * x160 + -3 * x159 + -1 * x158 = 0 && x145 + -1 * x161 = 0 && x168 + -2 * x169 = -5 && x168 < -10 && x170 > 6 && x170 + x169 >= 4 && x171 + -2 * x168 = -5 && x171 < -10 && -7 >= -3 * x170 + -1 * x169 && -4 >= -3 * x170 + -1 * x169 + -1 * x168 && x142 + -3 * x172 + -1 * x173 = 0 && x143 + -1 * x174 = 0 && x144 + -2 * x143 = -5 && x144 < -10 && x142 > 6 && x142 + x143 >= 4 && x174 + -2 * x173 = -5 && x174 < -10 && x172 > 6 && x172 + x173 >= 4 && x144 + -1 * x175 = 0 && 3 * x142 + x143 + -3 * x176 + -1 * x177 = 0 && x145 + -2 * x144 = -5 && x145 < -10 && -7 >= -3 * x142 + -1 * x143 && -4 >= -3 * x142 + -1 * x143 + -1 * x144 && x175 + -2 * x177 = -5 && x175 < -10 && x176 + x177 >= 4 && x176 > 6 && x143 + -1 * x171 = 0 && x142 + -9 * x170 + -3 * x169 + -1 * x168 = 0)) && x157 + -2 * x156 = -5 && x157 < -10 && 9 * x153 + 3 * x154 + x155 >= 7 && 9 * x153 + 3 * x154 + x155 + x156 >= 4 && x152 + -2 * x157 = -5 && x152 < -10 && -7 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 && -4 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 + -1 * x157 && x155 + -2 * x154 = -5 && x155 < -10 && x153 > 6 && x153 + x154 >= 4 && x156 + -2 * x155 = -5 && x156 < -10 && -7 >= -3 * x153 + -1 * x154 && -4 >= -3 * x153 + -1 * x154 + -1 * x155 && (x147 = x178 && (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 = 81 * x179 + 27 * x180 + 9 * x181 + 3 * x182 + x183 && (x184 < -10 && x184 + -2 * x185 = -5 && x186 > 6 && x186 + x185 >= 4 && x187 + -2 * x184 = -5 && x187 < -10 && -7 >= -3 * x186 + -1 * x185 && -4 >= -3 * x186 + -1 * x185 + -1 * x184 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -3 * x188 + -1 * x189 = 0 && x149 + -1 * x190 = 0 && x150 + -2 * x149 = -5 && x150 < -10 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 >= 7 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + x149 >= 4 && x190 + -2 * x189 = -5 && x190 < -10 && x188 > 6 && x188 + x189 >= 4 && x150 + -1 * x191 = 0 && 27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 9 * x147 + 3 * x148 + x149 + -3 * x192 + -1 * x193 = 0 && x151 + -2 * x150 = -5 && x151 < -10 && -7 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 && -4 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 + -1 * x150 && x191 + -2 * x193 = -5 && x191 < -10 && x192 + x193 >= 4 && x192 > 6 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -9 * x186 + -3 * x185 + -1 * x184 = 0 && x149 + -1 * x187 = 0 && x194 + -2 * x195 = -5 && x194 < -10 && x196 > 6 && x196 + x195 >= 4 && x197 + -2 * x194 = -5 && x197 < -10 && -7 >= -3 * x196 + -1 * x195 && -4 >= -3 * x196 + -1 * x195 + -1 * x194 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -3 * x198 + -1 * x199 = 0 && x147 + -1 * x200 = 0 && x148 + -2 * x147 = -5 && x148 < -10 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 > 6 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + x147 >= 4 && x200 + -2 * x199 = -5 && x200 < -10 && x198 > 6 && x198 + x199 >= 4 && x148 + -1 * x201 = 0 && 3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + x147 + -3 * x202 + -1 * x203 = 0 && x149 + -2 * x148 = -5 && x149 < -10 && -7 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 && -4 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 + -1 * x148 && x201 + -2 * x203 = -5 && x201 < -10 && x202 + x203 >= 4 && x202 > 6 && x147 + -1 * x197 = 0 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -9 * x196 + -3 * x195 + -1 * x194 = 0)) && x183 + -2 * x182 = -5 && x183 < -10 && 9 * x179 + 3 * x180 + x181 >= 7 && 9 * x179 + 3 * x180 + x181 + x182 >= 4 && x178 + -2 * x183 = -5 && x178 < -10 && -7 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 && -4 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 + -1 * x183 && x181 + -2 * x180 = -5 && x181 < -10 && x179 > 6 && x179 + x180 >= 4 && x182 + -2 * x181 = -5 && x182 < -10 && -7 >= -3 * x179 + -1 * x180 && -4 >= -3 * x179 + -1 * x180 + -1 * x181)

(28) Obligation:

Rules:
f_131(x204, x205) → f_131(6561 * x204 + 2187 * x205 + 729 * x206 + 243 * x207 + 81 * x208 + 27 * x209 + 9 * x210 + 3 * x211 + x212, x213) :|: TRUE && x205 + -1 * x214 = 0 && x204 + -81 * x215 + -27 * x216 + -9 * x217 + -3 * x218 + -1 * x219 = 0 && x220 <= -11 && x220 + -2 * x221 = -5 && x222 >= 7 && x222 + x221 >= 4 && x223 + -2 * x220 = -5 && x223 <= -11 && 3 * x222 + x221 >= 7 && 3 * x222 + x221 + x220 >= 4 && 9 * x204 + 3 * x205 + x206 + -3 * x224 + -1 * x225 = 0 && x207 + -1 * x226 = 0 && x208 + -2 * x207 = -5 && x208 <= -11 && 9 * x204 + 3 * x205 + x206 >= 7 && 9 * x204 + 3 * x205 + x206 + x207 >= 4 && x226 + -2 * x225 = -5 && x226 <= -11 && x224 >= 7 && x224 + x225 >= 4 && x208 + -1 * x227 = 0 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + -3 * x228 + -1 * x229 = 0 && x209 + -2 * x208 = -5 && x209 <= -11 && 27 * x204 + 9 * x205 + 3 * x206 + x207 >= 7 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + x208 >= 4 && x227 + -2 * x229 = -5 && x227 <= -11 && x228 + x229 >= 4 && x228 >= 7 && 9 * x204 + 3 * x205 + x206 + -9 * x222 + -3 * x221 + -1 * x220 = 0 && x207 + -1 * x223 = 0 && x230 + -2 * x231 = -5 && x230 <= -11 && x232 >= 7 && x232 + x231 >= 4 && x233 + -2 * x230 = -5 && x233 <= -11 && 3 * x232 + x231 >= 7 && 3 * x232 + x231 + x230 >= 4 && x204 + -3 * x234 + -1 * x235 = 0 && x205 + -1 * x236 = 0 && x206 + -2 * x205 = -5 && x206 <= -11 && x204 >= 7 && x204 + x205 >= 4 && x236 + -2 * x235 = -5 && x236 <= -11 && x234 >= 7 && x234 + x235 >= 4 && x206 + -1 * x237 = 0 && 3 * x204 + x205 + -3 * x238 + -1 * x239 = 0 && x207 + -2 * x206 = -5 && x207 <= -11 && 3 * x204 + x205 >= 7 && 3 * x204 + x205 + x206 >= 4 && x237 + -2 * x239 = -5 && x237 <= -11 && x238 + x239 >= 4 && x238 >= 7 && x205 + -1 * x233 = 0 && x204 + -9 * x232 + -3 * x231 + -1 * x230 = 0 && x219 + -2 * x218 = -5 && x219 <= -11 && 9 * x215 + 3 * x216 + x217 >= 7 && 9 * x215 + 3 * x216 + x217 + x218 >= 4 && x214 + -2 * x219 = -5 && x214 <= -11 && 27 * x215 + 9 * x216 + 3 * x217 + x218 >= 7 && 27 * x215 + 9 * x216 + 3 * x217 + x218 + x219 >= 4 && x217 + -2 * x216 = -5 && x217 <= -11 && x215 >= 7 && x215 + x216 >= 4 && x218 + -2 * x217 = -5 && x218 <= -11 && 3 * x215 + x216 >= 7 && 3 * x215 + x216 + x217 >= 4 && x209 + -1 * x240 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -81 * x241 + -27 * x242 + -9 * x243 + -3 * x244 + -1 * x245 = 0 && x246 <= -11 && x246 + -2 * x247 = -5 && x248 >= 7 && x248 + x247 >= 4 && x249 + -2 * x246 = -5 && x249 <= -11 && 3 * x248 + x247 >= 7 && 3 * x248 + x247 + x246 >= 4 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -3 * x250 + -1 * x251 = 0 && x211 + -1 * x252 = 0 && x212 + -2 * x211 = -5 && x212 <= -11 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 >= 7 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + x211 >= 4 && x252 + -2 * x251 = -5 && x252 <= -11 && x250 >= 7 && x250 + x251 >= 4 && x212 + -1 * x253 = 0 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + -3 * x254 + -1 * x255 = 0 && x213 + -2 * x212 = -5 && x213 <= -11 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 >= 7 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + x212 >= 4 && x253 + -2 * x255 = -5 && x253 <= -11 && x254 + x255 >= 4 && x254 >= 7 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -9 * x248 + -3 * x247 + -1 * x246 = 0 && x211 + -1 * x249 = 0 && x256 + -2 * x257 = -5 && x256 <= -11 && x258 >= 7 && x258 + x257 >= 4 && x259 + -2 * x256 = -5 && x259 <= -11 && 3 * x258 + x257 >= 7 && 3 * x258 + x257 + x256 >= 4 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -3 * x260 + -1 * x261 = 0 && x209 + -1 * x262 = 0 && x210 + -2 * x209 = -5 && x210 <= -11 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 >= 7 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + x209 >= 4 && x262 + -2 * x261 = -5 && x262 <= -11 && x260 >= 7 && x260 + x261 >= 4 && x210 + -1 * x263 = 0 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + -3 * x264 + -1 * x265 = 0 && x211 + -2 * x210 = -5 && x211 <= -11 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 >= 7 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + x210 >= 4 && x263 + -2 * x265 = -5 && x263 <= -11 && x264 + x265 >= 4 && x264 >= 7 && x209 + -1 * x259 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -9 * x258 + -3 * x257 + -1 * x256 = 0 && x245 + -2 * x244 = -5 && x245 <= -11 && 9 * x241 + 3 * x242 + x243 >= 7 && 9 * x241 + 3 * x242 + x243 + x244 >= 4 && x240 + -2 * x245 = -5 && x240 <= -11 && 27 * x241 + 9 * x242 + 3 * x243 + x244 >= 7 && 27 * x241 + 9 * x242 + 3 * x243 + x244 + x245 >= 4 && x243 + -2 * x242 = -5 && x243 <= -11 && x241 >= 7 && x241 + x242 >= 4 && x244 + -2 * x243 = -5 && x244 <= -11 && 3 * x241 + x242 >= 7 && 3 * x241 + x242 + x243 >= 4

(29) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(30) Obligation:

Rules:
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x241:0 > 6 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x264:0 > 6 && x264:0 + x265:0 >= 4 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x260:0 > 6 && x262:0 < -10 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x258:0 > 6 && x256:0 < -10 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x248:0 + -3 * x247:0 + -1 * x246:0 = 0 && x254:0 > 6 && x254:0 + x255:0 >= 4 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x250:0 > 6 && x252:0 < -10 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x248:0 + x247:0 + x246:0 && 7 <= 3 * x248:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x246:0 = -5 && x248:0 + x247:0 >= 4 && x248:0 > 6 && x246:0 + -2 * x247:0 = -5 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x215:0 > 6 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x238:0 > 6 && x238:0 + x239:0 >= 4 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x234:0 > 6 && x236:0 < -10 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x204:0 > 6 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x232:0 > 6 && x230:0 < -10 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x222:0 + -3 * x221:0 + -1 * x220:0 = 0 && x228:0 > 6 && x228:0 + x229:0 >= 4 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x224:0 > 6 && x226:0 < -10 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x222:0 + x221:0 + x220:0 && 7 <= 3 * x222:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x220:0 = -5 && x222:0 + x221:0 >= 4 && x222:0 > 6 && x220:0 + -2 * x221:0 = -5 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0

(31) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x241:0 > 6 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x264:0 > 6 && x264:0 + x265:0 >= 4 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x260:0 > 6 && x262:0 < -10 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x258:0 > 6 && x256:0 < -10 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x248:0 + -3 * x247:0 + -1 * x246:0 = 0 && x254:0 > 6 && x254:0 + x255:0 >= 4 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x250:0 > 6 && x252:0 < -10 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x248:0 + x247:0 + x246:0 && 7 <= 3 * x248:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x246:0 = -5 && x248:0 + x247:0 >= 4 && x248:0 > 6 && x246:0 + -2 * x247:0 = -5 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x215:0 > 6 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x238:0 > 6 && x238:0 + x239:0 >= 4 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x234:0 > 6 && x236:0 < -10 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x204:0 > 6 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x232:0 > 6 && x230:0 < -10 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x222:0 + -3 * x221:0 + -1 * x220:0 = 0 && x228:0 > 6 && x228:0 + x229:0 >= 4 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x224:0 > 6 && x226:0 < -10 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x222:0 + x221:0 + x220:0 && 7 <= 3 * x222:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x220:0 = -5 && x222:0 + x221:0 >= 4 && x222:0 > 6 && x220:0 + -2 * x221:0 = -5 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0
has been transformed into
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x241:0 > 6 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x264:0 > 6 && x264:0 + x265:0 >= 4 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x260:0 > 6 && x262:0 < -10 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x258:0 > 6 && x256:0 < -10 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x248:0 + -3 * x247:0 + -1 * x246:0 = 0 && x254:0 > 6 && x254:0 + x255:0 >= 4 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x250:0 > 6 && x252:0 < -10 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x248:0 + x247:0 + x246:0 && 7 <= 3 * x248:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x246:0 = -5 && x248:0 + x247:0 >= 4 && x248:0 > 6 && x246:0 + -2 * x247:0 = -5 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x215:0 > 6 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x238:0 > 6 && x238:0 + x239:0 >= 4 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x234:0 > 6 && x236:0 < -10 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x204:0 > 6 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x232:0 > 6 && x230:0 < -10 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x222:0 + -3 * x221:0 + -1 * x220:0 = 0 && x228:0 > 6 && x228:0 + x229:0 >= 4 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x224:0 > 6 && x226:0 < -10 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x222:0 + x221:0 + x220:0 && 7 <= 3 * x222:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x220:0 = -5 && x222:0 + x221:0 >= 4 && x222:0 > 6 && x220:0 + -2 * x221:0 = -5 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && x131 + -2 * x130 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && x130 < -10 && x130 + -2 * x129 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && x133 + -2 * x132 = -5 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && x132 + -2 * x131 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && x127 + -2 * x126 = -5 && x124 + x125 >= 4 && x124 > 6 && x126 < -10 && x126 + -2 * x125 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && x129 + -2 * x128 = -5 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && x128 + -2 * x127 = -5.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x241:0 > 6 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x264:0 > 6 && x264:0 + x265:0 >= 4 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x260:0 > 6 && x262:0 < -10 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x258:0 > 6 && x256:0 < -10 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x248:0 + -3 * x247:0 + -1 * x246:0 = 0 && x254:0 > 6 && x254:0 + x255:0 >= 4 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x250:0 > 6 && x252:0 < -10 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x248:0 + x247:0 + x246:0 && 7 <= 3 * x248:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x246:0 = -5 && x248:0 + x247:0 >= 4 && x248:0 > 6 && x246:0 + -2 * x247:0 = -5 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x215:0 > 6 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x238:0 > 6 && x238:0 + x239:0 >= 4 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x234:0 > 6 && x236:0 < -10 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x204:0 > 6 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x232:0 > 6 && x230:0 < -10 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x222:0 + -3 * x221:0 + -1 * x220:0 = 0 && x228:0 > 6 && x228:0 + x229:0 >= 4 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x224:0 > 6 && x226:0 < -10 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x222:0 + x221:0 + x220:0 && 7 <= 3 * x222:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x220:0 = -5 && x222:0 + x221:0 >= 4 && x222:0 > 6 && x220:0 + -2 * x221:0 = -5 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && x131 + -2 * x130 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && x130 < -10 && x130 + -2 * x129 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && x133 + -2 * x132 = -5 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && x132 + -2 * x131 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && x127 + -2 * x126 = -5 && x124 + x125 >= 4 && x124 > 6 && x126 < -10 && x126 + -2 * x125 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && x129 + -2 * x128 = -5 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && x128 + -2 * x127 = -5 and
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x241:0 > 6 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x264:0 > 6 && x264:0 + x265:0 >= 4 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x260:0 > 6 && x262:0 < -10 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x258:0 > 6 && x256:0 < -10 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x248:0 + -3 * x247:0 + -1 * x246:0 = 0 && x254:0 > 6 && x254:0 + x255:0 >= 4 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x250:0 > 6 && x252:0 < -10 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x248:0 + x247:0 + x246:0 && 7 <= 3 * x248:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x246:0 = -5 && x248:0 + x247:0 >= 4 && x248:0 > 6 && x246:0 + -2 * x247:0 = -5 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x215:0 > 6 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x238:0 > 6 && x238:0 + x239:0 >= 4 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x234:0 > 6 && x236:0 < -10 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x204:0 > 6 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x232:0 > 6 && x230:0 < -10 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x222:0 + -3 * x221:0 + -1 * x220:0 = 0 && x228:0 > 6 && x228:0 + x229:0 >= 4 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x224:0 > 6 && x226:0 < -10 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x222:0 + x221:0 + x220:0 && 7 <= 3 * x222:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x220:0 = -5 && x222:0 + x221:0 >= 4 && x222:0 > 6 && x220:0 + -2 * x221:0 = -5 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && x131 + -2 * x130 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && x130 < -10 && x130 + -2 * x129 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && x133 + -2 * x132 = -5 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && x132 + -2 * x131 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && x127 + -2 * x126 = -5 && x124 + x125 >= 4 && x124 > 6 && x126 < -10 && x126 + -2 * x125 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && x129 + -2 * x128 = -5 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && x128 + -2 * x127 = -5
have been merged into the new rule
f_131(x330, x331) → f_131(6561 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 2187 * x339 + 729 * x340 + 243 * x341 + 81 * x342 + 27 * x343 + 9 * x344 + 3 * x345 + x346, x347) :|: x331 = x348 && (x330 = 6561 * x349 + 2187 * x350 + 729 * x351 + 243 * x352 + 81 * x353 + 27 * x354 + 9 * x355 + 3 * x356 + x357 && (7 <= 3 * x358 + x359 && 4 <= 3 * x358 + x359 + x360 && x361 < -10 && x361 + -2 * x360 = -5 && x358 + x359 >= 4 && x358 > 6 && x360 < -10 && x360 + -2 * x359 = -5 && 4 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 + x362 && 7 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 && x363 < -10 && x363 + -2 * x362 = -5 && 9 * x358 + 3 * x359 + x360 + x361 >= 4 && 9 * x358 + 3 * x359 + x360 >= 7 && x362 < -10 && x362 + -2 * x361 = -5 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -9 * x364 + -3 * x365 + -1 * x366 = 0 && x335 + -1 * x367 = 0 && x368 > 6 && x368 + x369 >= 4 && x370 < -10 && x370 + -2 * x369 = -5 && 4 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + x336 && 7 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 && x337 < -10 && x337 + -2 * x336 = -5 && 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + -3 * x368 + -1 * x369 = 0 && x336 + -1 * x370 = 0 && x371 + x372 >= 4 && x371 > 6 && x373 < -10 && x373 + -2 * x372 = -5 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + x335 >= 4 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 >= 7 && x336 < -10 && x336 + -2 * x335 = -5 && x335 + -1 * x373 = 0 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -3 * x371 + -1 * x372 = 0 && 4 <= 3 * x364 + x365 + x366 && 7 <= 3 * x364 + x365 && x367 < -10 && x367 + -2 * x366 = -5 && x364 + x365 >= 4 && x364 > 6 && x366 < -10 && x366 + -2 * x365 = -5 && x337 + -1 * x374 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -9 * x375 + -3 * x376 + -1 * x377 = 0 && x378 > 6 && x378 + x379 >= 4 && x380 < -10 && x380 + -2 * x379 = -5 && 4 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + x338 && 7 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 && x339 < -10 && x339 + -2 * x338 = -5 && 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + -3 * x378 + -1 * x379 = 0 && x338 + -1 * x380 = 0 && x381 + x382 >= 4 && x381 > 6 && x383 < -10 && x383 + -2 * x382 = -5 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + x337 >= 4 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 >= 7 && x338 < -10 && x338 + -2 * x337 = -5 && x337 + -1 * x383 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -3 * x381 + -1 * x382 = 0 && 4 <= 3 * x375 + x376 + x377 && 7 <= 3 * x375 + x376 && x374 < -10 && x374 + -2 * x377 = -5 && x375 + x376 >= 4 && x375 > 6 && x377 + -2 * x376 = -5 && x377 < -10 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -81 * x358 + -27 * x359 + -9 * x360 + -3 * x361 + -1 * x362 = 0 && x335 + -1 * x363 = 0 && 4 <= 3 * x384 + x385 + x386 && 7 <= 3 * x384 + x385 && x387 < -10 && x387 + -2 * x386 = -5 && x384 + x385 >= 4 && x384 > 6 && x386 < -10 && x386 + -2 * x385 = -5 && 4 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 + x388 && 7 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 && x389 < -10 && x389 + -2 * x388 = -5 && 9 * x384 + 3 * x385 + x386 + x387 >= 4 && 9 * x384 + 3 * x385 + x386 >= 7 && x388 < -10 && x388 + -2 * x387 = -5 && x330 + -9 * x390 + -3 * x391 + -1 * x392 = 0 && x331 + -1 * x393 = 0 && x394 > 6 && x394 + x395 >= 4 && x396 < -10 && x396 + -2 * x395 = -5 && 4 <= 3 * x330 + x331 + x332 && 7 <= 3 * x330 + x331 && x333 < -10 && x333 + -2 * x332 = -5 && 3 * x330 + x331 + -3 * x394 + -1 * x395 = 0 && x332 + -1 * x396 = 0 && x397 + x398 >= 4 && x397 > 6 && x399 < -10 && x399 + -2 * x398 = -5 && x330 + x331 >= 4 && x330 > 6 && x332 < -10 && x332 + -2 * x331 = -5 && x331 + -1 * x399 = 0 && x330 + -3 * x397 + -1 * x398 = 0 && 4 <= 3 * x390 + x391 + x392 && 7 <= 3 * x390 + x391 && x393 < -10 && x393 + -2 * x392 = -5 && x390 + x391 >= 4 && x390 > 6 && x392 < -10 && x392 + -2 * x391 = -5 && x333 + -1 * x400 = 0 && 9 * x330 + 3 * x331 + x332 + -9 * x401 + -3 * x402 + -1 * x403 = 0 && x404 > 6 && x404 + x405 >= 4 && x406 < -10 && x406 + -2 * x405 = -5 && 4 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 + x334 && 7 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 && x335 < -10 && x335 + -2 * x334 = -5 && 27 * x330 + 9 * x331 + 3 * x332 + x333 + -3 * x404 + -1 * x405 = 0 && x334 + -1 * x406 = 0 && x407 + x408 >= 4 && x407 > 6 && x409 < -10 && x409 + -2 * x408 = -5 && 9 * x330 + 3 * x331 + x332 + x333 >= 4 && 9 * x330 + 3 * x331 + x332 >= 7 && x334 < -10 && x334 + -2 * x333 = -5 && x333 + -1 * x409 = 0 && 9 * x330 + 3 * x331 + x332 + -3 * x407 + -1 * x408 = 0 && 4 <= 3 * x401 + x402 + x403 && 7 <= 3 * x401 + x402 && x400 < -10 && x400 + -2 * x403 = -5 && x401 + x402 >= 4 && x401 > 6 && x403 + -2 * x402 = -5 && x403 < -10 && x331 + -1 * x389 = 0 && x330 + -81 * x384 + -27 * x385 + -9 * x386 + -3 * x387 + -1 * x388 = 0)) && 4 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 + x355 && 7 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 && x356 < -10 && x356 + -2 * x355 = -5 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 + x354 >= 4 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 >= 7 && x355 < -10 && x355 + -2 * x354 = -5 && 4 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 + x357 && 7 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 && x348 < -10 && x348 + -2 * x357 = -5 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 + x356 >= 4 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 >= 7 && x357 < -10 && x357 + -2 * x356 = -5 && 4 <= 3 * x349 + x350 + x351 && 7 <= 3 * x349 + x350 && x352 < -10 && x352 + -2 * x351 = -5 && x349 + x350 >= 4 && x349 > 6 && x351 < -10 && x351 + -2 * x350 = -5 && 4 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 + x353 && 7 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 && x354 < -10 && x354 + -2 * x353 = -5 && 9 * x349 + 3 * x350 + x351 + x352 >= 4 && 9 * x349 + 3 * x350 + x351 >= 7 && x353 < -10 && x353 + -2 * x352 = -5 && (x339 = x410 && (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 = 6561 * x411 + 2187 * x412 + 729 * x413 + 243 * x414 + 81 * x415 + 27 * x416 + 9 * x417 + 3 * x418 + x419 && (7 <= 3 * x420 + x421 && 4 <= 3 * x420 + x421 + x422 && x423 < -10 && x423 + -2 * x422 = -5 && x420 + x421 >= 4 && x420 > 6 && x422 < -10 && x422 + -2 * x421 = -5 && 4 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 + x424 && 7 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 && x425 < -10 && x425 + -2 * x424 = -5 && 9 * x420 + 3 * x421 + x422 + x423 >= 4 && 9 * x420 + 3 * x421 + x422 >= 7 && x424 < -10 && x424 + -2 * x423 = -5 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -9 * x426 + -3 * x427 + -1 * x428 = 0 && x343 + -1 * x429 = 0 && x430 > 6 && x430 + x431 >= 4 && x432 < -10 && x432 + -2 * x431 = -5 && 4 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + x344 && 7 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 && x345 < -10 && x345 + -2 * x344 = -5 && 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + -3 * x430 + -1 * x431 = 0 && x344 + -1 * x432 = 0 && x433 + x434 >= 4 && x433 > 6 && x435 < -10 && x435 + -2 * x434 = -5 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + x343 >= 4 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 >= 7 && x344 < -10 && x344 + -2 * x343 = -5 && x343 + -1 * x435 = 0 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -3 * x433 + -1 * x434 = 0 && 4 <= 3 * x426 + x427 + x428 && 7 <= 3 * x426 + x427 && x429 < -10 && x429 + -2 * x428 = -5 && x426 + x427 >= 4 && x426 > 6 && x428 < -10 && x428 + -2 * x427 = -5 && x345 + -1 * x436 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -9 * x437 + -3 * x438 + -1 * x439 = 0 && x440 > 6 && x440 + x441 >= 4 && x442 < -10 && x442 + -2 * x441 = -5 && 4 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + x346 && 7 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 && x347 < -10 && x347 + -2 * x346 = -5 && 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + -3 * x440 + -1 * x441 = 0 && x346 + -1 * x442 = 0 && x443 + x444 >= 4 && x443 > 6 && x445 < -10 && x445 + -2 * x444 = -5 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + x345 >= 4 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 >= 7 && x346 < -10 && x346 + -2 * x345 = -5 && x345 + -1 * x445 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -3 * x443 + -1 * x444 = 0 && 4 <= 3 * x437 + x438 + x439 && 7 <= 3 * x437 + x438 && x436 < -10 && x436 + -2 * x439 = -5 && x437 + x438 >= 4 && x437 > 6 && x439 + -2 * x438 = -5 && x439 < -10 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -81 * x420 + -27 * x421 + -9 * x422 + -3 * x423 + -1 * x424 = 0 && x343 + -1 * x425 = 0 && 4 <= 3 * x446 + x447 + x448 && 7 <= 3 * x446 + x447 && x449 < -10 && x449 + -2 * x448 = -5 && x446 + x447 >= 4 && x446 > 6 && x448 < -10 && x448 + -2 * x447 = -5 && 4 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 + x450 && 7 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 && x451 < -10 && x451 + -2 * x450 = -5 && 9 * x446 + 3 * x447 + x448 + x449 >= 4 && 9 * x446 + 3 * x447 + x448 >= 7 && x450 < -10 && x450 + -2 * x449 = -5 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -9 * x452 + -3 * x453 + -1 * x454 = 0 && x339 + -1 * x455 = 0 && x456 > 6 && x456 + x457 >= 4 && x458 < -10 && x458 + -2 * x457 = -5 && 4 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + x340 && 7 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 && x341 < -10 && x341 + -2 * x340 = -5 && 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + -3 * x456 + -1 * x457 = 0 && x340 + -1 * x458 = 0 && x459 + x460 >= 4 && x459 > 6 && x461 < -10 && x461 + -2 * x460 = -5 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + x339 >= 4 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 > 6 && x340 < -10 && x340 + -2 * x339 = -5 && x339 + -1 * x461 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -3 * x459 + -1 * x460 = 0 && 4 <= 3 * x452 + x453 + x454 && 7 <= 3 * x452 + x453 && x455 < -10 && x455 + -2 * x454 = -5 && x452 + x453 >= 4 && x452 > 6 && x454 < -10 && x454 + -2 * x453 = -5 && x341 + -1 * x462 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -9 * x463 + -3 * x464 + -1 * x465 = 0 && x466 > 6 && x466 + x467 >= 4 && x468 < -10 && x468 + -2 * x467 = -5 && 4 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + x342 && 7 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 && x343 < -10 && x343 + -2 * x342 = -5 && 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + -3 * x466 + -1 * x467 = 0 && x342 + -1 * x468 = 0 && x469 + x470 >= 4 && x469 > 6 && x471 < -10 && x471 + -2 * x470 = -5 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + x341 >= 4 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 >= 7 && x342 < -10 && x342 + -2 * x341 = -5 && x341 + -1 * x471 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -3 * x469 + -1 * x470 = 0 && 4 <= 3 * x463 + x464 + x465 && 7 <= 3 * x463 + x464 && x462 < -10 && x462 + -2 * x465 = -5 && x463 + x464 >= 4 && x463 > 6 && x465 + -2 * x464 = -5 && x465 < -10 && x339 + -1 * x451 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -81 * x446 + -27 * x447 + -9 * x448 + -3 * x449 + -1 * x450 = 0)) && 4 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 + x417 && 7 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 && x418 < -10 && x418 + -2 * x417 = -5 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 + x416 >= 4 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 >= 7 && x417 < -10 && x417 + -2 * x416 = -5 && 4 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 + x419 && 7 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 && x410 < -10 && x410 + -2 * x419 = -5 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 + x418 >= 4 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 >= 7 && x419 < -10 && x419 + -2 * x418 = -5 && 4 <= 3 * x411 + x412 + x413 && 7 <= 3 * x411 + x412 && x414 < -10 && x414 + -2 * x413 = -5 && x411 + x412 >= 4 && x411 > 6 && x413 < -10 && x413 + -2 * x412 = -5 && 4 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 + x415 && 7 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 && x416 < -10 && x416 + -2 * x415 = -5 && 9 * x411 + 3 * x412 + x413 + x414 >= 4 && 9 * x411 + 3 * x412 + x413 >= 7 && x415 < -10 && x415 + -2 * x414 = -5)

(32) Obligation:

Rules:
f_131(x472, x473) → f_131(43046721 * x472 + 14348907 * x473 + 4782969 * x474 + 1594323 * x475 + 531441 * x476 + 177147 * x477 + 59049 * x478 + 19683 * x479 + 6561 * x480 + 2187 * x481 + 729 * x482 + 243 * x483 + 81 * x484 + 27 * x485 + 9 * x486 + 3 * x487 + x488, x489) :|: TRUE && x473 + -1 * x490 = 0 && x472 + -6561 * x491 + -2187 * x492 + -729 * x493 + -243 * x494 + -81 * x495 + -27 * x496 + -9 * x497 + -3 * x498 + -1 * x499 = 0 && -3 * x500 + -1 * x501 <= -7 && -3 * x500 + -1 * x501 + -1 * x502 <= -4 && x503 <= -11 && x503 + -2 * x502 = -5 && x500 + x501 >= 4 && x500 >= 7 && x502 <= -11 && x502 + -2 * x501 = -5 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 + -1 * x504 <= -4 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 <= -7 && x505 <= -11 && x505 + -2 * x504 = -5 && 9 * x500 + 3 * x501 + x502 + x503 >= 4 && 9 * x500 + 3 * x501 + x502 >= 7 && x504 <= -11 && x504 + -2 * x503 = -5 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -9 * x506 + -3 * x507 + -1 * x508 = 0 && x477 + -1 * x509 = 0 && x510 >= 7 && x510 + x511 >= 4 && x512 <= -11 && x512 + -2 * x511 = -5 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 + -1 * x478 <= -4 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 <= -7 && x479 <= -11 && x479 + -2 * x478 = -5 && 243 * x472 + 81 * x473 + 27 * x474 + 9 * x475 + 3 * x476 + x477 + -3 * x510 + -1 * x511 = 0 && x478 + -1 * x512 = 0 && x513 + x514 >= 4 && x513 >= 7 && x515 <= -11 && x515 + -2 * x514 = -5 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + x477 >= 4 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 >= 7 && x478 <= -11 && x478 + -2 * x477 = -5 && x477 + -1 * x515 = 0 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -3 * x513 + -1 * x514 = 0 && -3 * x506 + -1 * x507 + -1 * x508 <= -4 && -3 * x506 + -1 * x507 <= -7 && x509 <= -11 && x509 + -2 * x508 = -5 && x506 + x507 >= 4 && x506 >= 7 && x508 <= -11 && x508 + -2 * x507 = -5 && x479 + -1 * x516 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -9 * x517 + -3 * x518 + -1 * x519 = 0 && x520 >= 7 && x520 + x521 >= 4 && x522 <= -11 && x522 + -2 * x521 = -5 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 + -1 * x480 <= -4 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 <= -7 && x481 <= -11 && x481 + -2 * x480 = -5 && 2187 * x472 + 729 * x473 + 243 * x474 + 81 * x475 + 27 * x476 + 9 * x477 + 3 * x478 + x479 + -3 * x520 + -1 * x521 = 0 && x480 + -1 * x522 = 0 && x523 + x524 >= 4 && x523 >= 7 && x525 <= -11 && x525 + -2 * x524 = -5 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + x479 >= 4 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 >= 7 && x480 <= -11 && x480 + -2 * x479 = -5 && x479 + -1 * x525 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -3 * x523 + -1 * x524 = 0 && -3 * x517 + -1 * x518 + -1 * x519 <= -4 && -3 * x517 + -1 * x518 <= -7 && x516 <= -11 && x516 + -2 * x519 = -5 && x517 + x518 >= 4 && x517 >= 7 && x519 + -2 * x518 = -5 && x519 <= -11 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -81 * x500 + -27 * x501 + -9 * x502 + -3 * x503 + -1 * x504 = 0 && x477 + -1 * x505 = 0 && -3 * x526 + -1 * x527 + -1 * x528 <= -4 && -3 * x526 + -1 * x527 <= -7 && x529 <= -11 && x529 + -2 * x528 = -5 && x526 + x527 >= 4 && x526 >= 7 && x528 <= -11 && x528 + -2 * x527 = -5 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 + -1 * x530 <= -4 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 <= -7 && x531 <= -11 && x531 + -2 * x530 = -5 && 9 * x526 + 3 * x527 + x528 + x529 >= 4 && 9 * x526 + 3 * x527 + x528 >= 7 && x530 <= -11 && x530 + -2 * x529 = -5 && x472 + -9 * x532 + -3 * x533 + -1 * x534 = 0 && x473 + -1 * x535 = 0 && x536 >= 7 && x536 + x537 >= 4 && x538 <= -11 && x538 + -2 * x537 = -5 && -3 * x472 + -1 * x473 + -1 * x474 <= -4 && -3 * x472 + -1 * x473 <= -7 && x475 <= -11 && x475 + -2 * x474 = -5 && 3 * x472 + x473 + -3 * x536 + -1 * x537 = 0 && x474 + -1 * x538 = 0 && x539 + x540 >= 4 && x539 >= 7 && x541 <= -11 && x541 + -2 * x540 = -5 && x472 + x473 >= 4 && x472 >= 7 && x474 <= -11 && x474 + -2 * x473 = -5 && x473 + -1 * x541 = 0 && x472 + -3 * x539 + -1 * x540 = 0 && -3 * x532 + -1 * x533 + -1 * x534 <= -4 && -3 * x532 + -1 * x533 <= -7 && x535 <= -11 && x535 + -2 * x534 = -5 && x532 + x533 >= 4 && x532 >= 7 && x534 <= -11 && x534 + -2 * x533 = -5 && x475 + -1 * x542 = 0 && 9 * x472 + 3 * x473 + x474 + -9 * x543 + -3 * x544 + -1 * x545 = 0 && x546 >= 7 && x546 + x547 >= 4 && x548 <= -11 && x548 + -2 * x547 = -5 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 + -1 * x476 <= -4 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 <= -7 && x477 <= -11 && x477 + -2 * x476 = -5 && 27 * x472 + 9 * x473 + 3 * x474 + x475 + -3 * x546 + -1 * x547 = 0 && x476 + -1 * x548 = 0 && x549 + x550 >= 4 && x549 >= 7 && x551 <= -11 && x551 + -2 * x550 = -5 && 9 * x472 + 3 * x473 + x474 + x475 >= 4 && 9 * x472 + 3 * x473 + x474 >= 7 && x476 <= -11 && x476 + -2 * x475 = -5 && x475 + -1 * x551 = 0 && 9 * x472 + 3 * x473 + x474 + -3 * x549 + -1 * x550 = 0 && -3 * x543 + -1 * x544 + -1 * x545 <= -4 && -3 * x543 + -1 * x544 <= -7 && x542 <= -11 && x542 + -2 * x545 = -5 && x543 + x544 >= 4 && x543 >= 7 && x545 + -2 * x544 = -5 && x545 <= -11 && x473 + -1 * x531 = 0 && x472 + -81 * x526 + -27 * x527 + -9 * x528 + -3 * x529 + -1 * x530 = 0 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 + -1 * x497 <= -4 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 <= -7 && x498 <= -11 && x498 + -2 * x497 = -5 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 + x496 >= 4 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 >= 7 && x497 <= -11 && x497 + -2 * x496 = -5 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 + -1 * x499 <= -4 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 <= -7 && x490 <= -11 && x490 + -2 * x499 = -5 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 + x498 >= 4 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 >= 7 && x499 <= -11 && x499 + -2 * x498 = -5 && -3 * x491 + -1 * x492 + -1 * x493 <= -4 && -3 * x491 + -1 * x492 <= -7 && x494 <= -11 && x494 + -2 * x493 = -5 && x491 + x492 >= 4 && x491 >= 7 && x493 <= -11 && x493 + -2 * x492 = -5 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 + -1 * x495 <= -4 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 <= -7 && x496 <= -11 && x496 + -2 * x495 = -5 && 9 * x491 + 3 * x492 + x493 + x494 >= 4 && 9 * x491 + 3 * x492 + x493 >= 7 && x495 <= -11 && x495 + -2 * x494 = -5 && x481 + -1 * x552 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -6561 * x553 + -2187 * x554 + -729 * x555 + -243 * x556 + -81 * x557 + -27 * x558 + -9 * x559 + -3 * x560 + -1 * x561 = 0 && -3 * x562 + -1 * x563 <= -7 && -3 * x562 + -1 * x563 + -1 * x564 <= -4 && x565 <= -11 && x565 + -2 * x564 = -5 && x562 + x563 >= 4 && x562 >= 7 && x564 <= -11 && x564 + -2 * x563 = -5 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 + -1 * x566 <= -4 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 <= -7 && x567 <= -11 && x567 + -2 * x566 = -5 && 9 * x562 + 3 * x563 + x564 + x565 >= 4 && 9 * x562 + 3 * x563 + x564 >= 7 && x566 <= -11 && x566 + -2 * x565 = -5 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -9 * x568 + -3 * x569 + -1 * x570 = 0 && x485 + -1 * x571 = 0 && x572 >= 7 && x572 + x573 >= 4 && x574 <= -11 && x574 + -2 * x573 = -5 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 + -1 * x486 <= -4 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 <= -7 && x487 <= -11 && x487 + -2 * x486 = -5 && 1594323 * x472 + 531441 * x473 + 177147 * x474 + 59049 * x475 + 19683 * x476 + 6561 * x477 + 2187 * x478 + 729 * x479 + 243 * x480 + 81 * x481 + 27 * x482 + 9 * x483 + 3 * x484 + x485 + -3 * x572 + -1 * x573 = 0 && x486 + -1 * x574 = 0 && x575 + x576 >= 4 && x575 >= 7 && x577 <= -11 && x577 + -2 * x576 = -5 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + x485 >= 4 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 >= 7 && x486 <= -11 && x486 + -2 * x485 = -5 && x485 + -1 * x577 = 0 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -3 * x575 + -1 * x576 = 0 && -3 * x568 + -1 * x569 + -1 * x570 <= -4 && -3 * x568 + -1 * x569 <= -7 && x571 <= -11 && x571 + -2 * x570 = -5 && x568 + x569 >= 4 && x568 >= 7 && x570 <= -11 && x570 + -2 * x569 = -5 && x487 + -1 * x578 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -9 * x579 + -3 * x580 + -1 * x581 = 0 && x582 >= 7 && x582 + x583 >= 4 && x584 <= -11 && x584 + -2 * x583 = -5 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 + -1 * x488 <= -4 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 <= -7 && x489 <= -11 && x489 + -2 * x488 = -5 && 14348907 * x472 + 4782969 * x473 + 1594323 * x474 + 531441 * x475 + 177147 * x476 + 59049 * x477 + 19683 * x478 + 6561 * x479 + 2187 * x480 + 729 * x481 + 243 * x482 + 81 * x483 + 27 * x484 + 9 * x485 + 3 * x486 + x487 + -3 * x582 + -1 * x583 = 0 && x488 + -1 * x584 = 0 && x585 + x586 >= 4 && x585 >= 7 && x587 <= -11 && x587 + -2 * x586 = -5 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + x487 >= 4 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 >= 7 && x488 <= -11 && x488 + -2 * x487 = -5 && x487 + -1 * x587 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -3 * x585 + -1 * x586 = 0 && -3 * x579 + -1 * x580 + -1 * x581 <= -4 && -3 * x579 + -1 * x580 <= -7 && x578 <= -11 && x578 + -2 * x581 = -5 && x579 + x580 >= 4 && x579 >= 7 && x581 + -2 * x580 = -5 && x581 <= -11 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -81 * x562 + -27 * x563 + -9 * x564 + -3 * x565 + -1 * x566 = 0 && x485 + -1 * x567 = 0 && -3 * x588 + -1 * x589 + -1 * x590 <= -4 && -3 * x588 + -1 * x589 <= -7 && x591 <= -11 && x591 + -2 * x590 = -5 && x588 + x589 >= 4 && x588 >= 7 && x590 <= -11 && x590 + -2 * x589 = -5 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 + -1 * x592 <= -4 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 <= -7 && x593 <= -11 && x593 + -2 * x592 = -5 && 9 * x588 + 3 * x589 + x590 + x591 >= 4 && 9 * x588 + 3 * x589 + x590 >= 7 && x592 <= -11 && x592 + -2 * x591 = -5 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -9 * x594 + -3 * x595 + -1 * x596 = 0 && x481 + -1 * x597 = 0 && x598 >= 7 && x598 + x599 >= 4 && x600 <= -11 && x600 + -2 * x599 = -5 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 + -1 * x482 <= -4 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 <= -7 && x483 <= -11 && x483 + -2 * x482 = -5 && 19683 * x472 + 6561 * x473 + 2187 * x474 + 729 * x475 + 243 * x476 + 81 * x477 + 27 * x478 + 9 * x479 + 3 * x480 + x481 + -3 * x598 + -1 * x599 = 0 && x482 + -1 * x600 = 0 && x601 + x602 >= 4 && x601 >= 7 && x603 <= -11 && x603 + -2 * x602 = -5 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + x481 >= 4 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 >= 7 && x482 <= -11 && x482 + -2 * x481 = -5 && x481 + -1 * x603 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -3 * x601 + -1 * x602 = 0 && -3 * x594 + -1 * x595 + -1 * x596 <= -4 && -3 * x594 + -1 * x595 <= -7 && x597 <= -11 && x597 + -2 * x596 = -5 && x594 + x595 >= 4 && x594 >= 7 && x596 <= -11 && x596 + -2 * x595 = -5 && x483 + -1 * x604 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -9 * x605 + -3 * x606 + -1 * x607 = 0 && x608 >= 7 && x608 + x609 >= 4 && x610 <= -11 && x610 + -2 * x609 = -5 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 + -1 * x484 <= -4 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 <= -7 && x485 <= -11 && x485 + -2 * x484 = -5 && 177147 * x472 + 59049 * x473 + 19683 * x474 + 6561 * x475 + 2187 * x476 + 729 * x477 + 243 * x478 + 81 * x479 + 27 * x480 + 9 * x481 + 3 * x482 + x483 + -3 * x608 + -1 * x609 = 0 && x484 + -1 * x610 = 0 && x611 + x612 >= 4 && x611 >= 7 && x613 <= -11 && x613 + -2 * x612 = -5 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + x483 >= 4 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 >= 7 && x484 <= -11 && x484 + -2 * x483 = -5 && x483 + -1 * x613 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -3 * x611 + -1 * x612 = 0 && -3 * x605 + -1 * x606 + -1 * x607 <= -4 && -3 * x605 + -1 * x606 <= -7 && x604 <= -11 && x604 + -2 * x607 = -5 && x605 + x606 >= 4 && x605 >= 7 && x607 + -2 * x606 = -5 && x607 <= -11 && x481 + -1 * x593 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -81 * x588 + -27 * x589 + -9 * x590 + -3 * x591 + -1 * x592 = 0 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 + -1 * x559 <= -4 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 <= -7 && x560 <= -11 && x560 + -2 * x559 = -5 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 + x558 >= 4 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 >= 7 && x559 <= -11 && x559 + -2 * x558 = -5 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 + -1 * x561 <= -4 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 <= -7 && x552 <= -11 && x552 + -2 * x561 = -5 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 + x560 >= 4 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 >= 7 && x561 <= -11 && x561 + -2 * x560 = -5 && -3 * x553 + -1 * x554 + -1 * x555 <= -4 && -3 * x553 + -1 * x554 <= -7 && x556 <= -11 && x556 + -2 * x555 = -5 && x553 + x554 >= 4 && x553 >= 7 && x555 <= -11 && x555 + -2 * x554 = -5 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 + -1 * x557 <= -4 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 <= -7 && x558 <= -11 && x558 + -2 * x557 = -5 && 9 * x553 + 3 * x554 + x555 + x556 >= 4 && 9 * x553 + 3 * x554 + x555 >= 7 && x557 <= -11 && x557 + -2 * x556 = -5

(33) CaseAnalysis (EQUIVALENT transformation)

Found the following inductive condition:
f_131(x, x1): -22 - 2·x1≥0

(34) Complex Obligation (AND)

(35) Obligation:

Rules:
f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: 5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3 && -22 + -2 * v93:0:0 >= 0

(36) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(37) Obligation:

Rules:
f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0

(38) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0
has been transformed into
f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v93:0:0:0 = x8 && (v91:0:0:0 = 3 * x6 + x7 && (v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0)) && x6 + x7 > 3 && 22 <= -2 * x7 && x6 > 6 && 3 * x6 > 20 && x8 < -10 && 5 + x8 = 2 * x7.


f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v93:0:0:0 = x8 && (v91:0:0:0 = 3 * x6 + x7 && (v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0)) && x6 + x7 > 3 && 22 <= -2 * x7 && x6 > 6 && 3 * x6 > 20 && x8 < -10 && 5 + x8 = 2 * x7 and
f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v93:0:0:0 = x8 && (v91:0:0:0 = 3 * x6 + x7 && (v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0)) && x6 + x7 > 3 && 22 <= -2 * x7 && x6 > 6 && 3 * x6 > 20 && x8 < -10 && 5 + x8 = 2 * x7
have been merged into the new rule
f_131(x21, x22) → f_131(3 * (3 * x21 + x22) + x23, x24) :|: x22 = x25 && (x21 = 3 * x26 + x27 && (x21 + x22 > 3 && 22 <= -2 * x22 && x21 > 6 && 3 * x21 > 20 && x23 < -10 && 5 + x23 = 2 * x22)) && x26 + x27 > 3 && 22 <= -2 * x27 && x26 > 6 && 3 * x26 > 20 && x25 < -10 && 5 + x25 = 2 * x27 && (x23 = x28 && (3 * x21 + x22 = 3 * x29 + x30 && (3 * x21 + x22 + x23 > 3 && 22 <= -2 * x23 && 3 * x21 + x22 > 6 && 3 * (3 * x21 + x22) > 20 && x24 < -10 && 5 + x24 = 2 * x23)) && x29 + x30 > 3 && 22 <= -2 * x30 && x29 > 6 && 3 * x29 > 20 && x28 < -10 && 5 + x28 = 2 * x30)

(39) Obligation:

Rules:
f_131(x31, x32) → f_131(9 * x31 + 3 * x32 + x33, x34) :|: TRUE && x32 + -1 * x35 = 0 && x31 + -3 * x36 + -1 * x37 = 0 && x31 + x32 >= 4 && x32 <= -11 && x31 >= 7 && x33 <= -11 && x33 + -2 * x32 = -5 && x36 + x37 >= 4 && x37 <= -11 && x36 >= 7 && x35 <= -11 && x35 + -2 * x37 = -5 && x33 + -1 * x38 = 0 && 3 * x31 + x32 + -3 * x39 + -1 * x40 = 0 && 3 * x31 + x32 + x33 >= 4 && 3 * x31 + x32 >= 7 && x34 <= -11 && x34 + -2 * x33 = -5 && x39 + x40 >= 4 && x40 <= -11 && x39 >= 7 && x38 <= -11 && x38 + -2 * x40 = -5

(40) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(41) Obligation:

Rules:
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && x39:0 > 6 && x40:0 < -10 && x39:0 + x40:0 >= 4 && x34:0 + -2 * x33:0 = -5 && x34:0 < -10 && 7 <= 3 * x31:0 + x32:0 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x35:0 + -2 * x37:0 = -5 && x35:0 < -10 && x36:0 > 6 && x37:0 < -10 && x36:0 + x37:0 >= 4 && x33:0 + -2 * x32:0 = -5 && x33:0 < -10 && x31:0 > 6 && x32:0 < -10 && x31:0 + x32:0 >= 4 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0

(42) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && x39:0 > 6 && x40:0 < -10 && x39:0 + x40:0 >= 4 && x34:0 + -2 * x33:0 = -5 && x34:0 < -10 && 7 <= 3 * x31:0 + x32:0 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x35:0 + -2 * x37:0 = -5 && x35:0 < -10 && x36:0 > 6 && x37:0 < -10 && x36:0 + x37:0 >= 4 && x33:0 + -2 * x32:0 = -5 && x33:0 < -10 && x31:0 > 6 && x32:0 < -10 && x31:0 + x32:0 >= 4 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0
has been transformed into
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && x39:0 > 6 && x40:0 < -10 && x39:0 + x40:0 >= 4 && x34:0 + -2 * x33:0 = -5 && x34:0 < -10 && 7 <= 3 * x31:0 + x32:0 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x35:0 + -2 * x37:0 = -5 && x35:0 < -10 && x36:0 > 6 && x37:0 < -10 && x36:0 + x37:0 >= 4 && x33:0 + -2 * x32:0 = -5 && x33:0 < -10 && x31:0 > 6 && x32:0 < -10 && x31:0 + x32:0 >= 4 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && x23 + -2 * x22 = -5 && x23 < -10 && 7 <= 3 * x20 + x21 && 4 <= 3 * x20 + x21 + x22 && x22 + -2 * x21 = -5 && x22 < -10 && x20 > 6 && x21 < -10 && x20 + x21 >= 4.


f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && x39:0 > 6 && x40:0 < -10 && x39:0 + x40:0 >= 4 && x34:0 + -2 * x33:0 = -5 && x34:0 < -10 && 7 <= 3 * x31:0 + x32:0 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x35:0 + -2 * x37:0 = -5 && x35:0 < -10 && x36:0 > 6 && x37:0 < -10 && x36:0 + x37:0 >= 4 && x33:0 + -2 * x32:0 = -5 && x33:0 < -10 && x31:0 > 6 && x32:0 < -10 && x31:0 + x32:0 >= 4 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && x23 + -2 * x22 = -5 && x23 < -10 && 7 <= 3 * x20 + x21 && 4 <= 3 * x20 + x21 + x22 && x22 + -2 * x21 = -5 && x22 < -10 && x20 > 6 && x21 < -10 && x20 + x21 >= 4 and
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x38:0 < -10 && x38:0 + -2 * x40:0 = -5 && x39:0 > 6 && x40:0 < -10 && x39:0 + x40:0 >= 4 && x34:0 + -2 * x33:0 = -5 && x34:0 < -10 && 7 <= 3 * x31:0 + x32:0 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x35:0 + -2 * x37:0 = -5 && x35:0 < -10 && x36:0 > 6 && x37:0 < -10 && x36:0 + x37:0 >= 4 && x33:0 + -2 * x32:0 = -5 && x33:0 < -10 && x31:0 > 6 && x32:0 < -10 && x31:0 + x32:0 >= 4 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && x23 + -2 * x22 = -5 && x23 < -10 && 7 <= 3 * x20 + x21 && 4 <= 3 * x20 + x21 + x22 && x22 + -2 * x21 = -5 && x22 < -10 && x20 > 6 && x21 < -10 && x20 + x21 >= 4
have been merged into the new rule
f_131(x58, x59) → f_131(9 * (9 * x58 + 3 * x59 + x60) + 3 * x61 + x62, x63) :|: x59 = x64 && (x58 = 9 * x65 + 3 * x66 + x67 && (x68 < -10 && x68 + -2 * x69 = -5 && x70 > 6 && x69 < -10 && x70 + x69 >= 4 && x61 + -2 * x60 = -5 && x61 < -10 && 7 <= 3 * x58 + x59 && 4 <= 3 * x58 + x59 + x60 && 3 * x58 + x59 + -3 * x70 + -1 * x69 = 0 && x60 + -1 * x68 = 0 && x71 + -2 * x72 = -5 && x71 < -10 && x73 > 6 && x72 < -10 && x73 + x72 >= 4 && x60 + -2 * x59 = -5 && x60 < -10 && x58 > 6 && x59 < -10 && x58 + x59 >= 4 && x59 + -1 * x71 = 0 && x58 + -3 * x73 + -1 * x72 = 0)) && x64 + -2 * x67 = -5 && x64 < -10 && 7 <= 3 * x65 + x66 && 4 <= 3 * x65 + x66 + x67 && x67 + -2 * x66 = -5 && x67 < -10 && x65 > 6 && x66 < -10 && x65 + x66 >= 4 && (x61 = x74 && (9 * x58 + 3 * x59 + x60 = 9 * x75 + 3 * x76 + x77 && (x78 < -10 && x78 + -2 * x79 = -5 && x80 > 6 && x79 < -10 && x80 + x79 >= 4 && x63 + -2 * x62 = -5 && x63 < -10 && 7 <= 3 * (9 * x58 + 3 * x59 + x60) + x61 && 4 <= 3 * (9 * x58 + 3 * x59 + x60) + x61 + x62 && 3 * (9 * x58 + 3 * x59 + x60) + x61 + -3 * x80 + -1 * x79 = 0 && x62 + -1 * x78 = 0 && x81 + -2 * x82 = -5 && x81 < -10 && x83 > 6 && x82 < -10 && x83 + x82 >= 4 && x62 + -2 * x61 = -5 && x62 < -10 && 9 * x58 + 3 * x59 + x60 > 6 && x61 < -10 && 9 * x58 + 3 * x59 + x60 + x61 >= 4 && x61 + -1 * x81 = 0 && 9 * x58 + 3 * x59 + x60 + -3 * x83 + -1 * x82 = 0)) && x74 + -2 * x77 = -5 && x74 < -10 && 7 <= 3 * x75 + x76 && 4 <= 3 * x75 + x76 + x77 && x77 + -2 * x76 = -5 && x77 < -10 && x75 > 6 && x76 < -10 && x75 + x76 >= 4)

(43) Obligation:

Rules:
f_131(x84, x85) → f_131(81 * x84 + 27 * x85 + 9 * x86 + 3 * x87 + x88, x89) :|: TRUE && x85 + -1 * x90 = 0 && x84 + -9 * x91 + -3 * x92 + -1 * x93 = 0 && x94 <= -11 && x94 + -2 * x95 = -5 && x96 >= 7 && x95 <= -11 && x96 + x95 >= 4 && x87 + -2 * x86 = -5 && x87 <= -11 && -3 * x84 + -1 * x85 <= -7 && -3 * x84 + -1 * x85 + -1 * x86 <= -4 && 3 * x84 + x85 + -3 * x96 + -1 * x95 = 0 && x86 + -1 * x94 = 0 && x97 + -2 * x98 = -5 && x97 <= -11 && x99 >= 7 && x98 <= -11 && x99 + x98 >= 4 && x86 + -2 * x85 = -5 && x86 <= -11 && x84 >= 7 && x85 <= -11 && x84 + x85 >= 4 && x85 + -1 * x97 = 0 && x84 + -3 * x99 + -1 * x98 = 0 && x90 + -2 * x93 = -5 && x90 <= -11 && -3 * x91 + -1 * x92 <= -7 && -3 * x91 + -1 * x92 + -1 * x93 <= -4 && x93 + -2 * x92 = -5 && x93 <= -11 && x91 >= 7 && x92 <= -11 && x91 + x92 >= 4 && x87 + -1 * x100 = 0 && 9 * x84 + 3 * x85 + x86 + -9 * x101 + -3 * x102 + -1 * x103 = 0 && x104 <= -11 && x104 + -2 * x105 = -5 && x106 >= 7 && x105 <= -11 && x106 + x105 >= 4 && x89 + -2 * x88 = -5 && x89 <= -11 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 <= -7 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 + -1 * x88 <= -4 && 27 * x84 + 9 * x85 + 3 * x86 + x87 + -3 * x106 + -1 * x105 = 0 && x88 + -1 * x104 = 0 && x107 + -2 * x108 = -5 && x107 <= -11 && x109 >= 7 && x108 <= -11 && x109 + x108 >= 4 && x88 + -2 * x87 = -5 && x88 <= -11 && 9 * x84 + 3 * x85 + x86 >= 7 && 9 * x84 + 3 * x85 + x86 + x87 >= 4 && x87 + -1 * x107 = 0 && 9 * x84 + 3 * x85 + x86 + -3 * x109 + -1 * x108 = 0 && x100 + -2 * x103 = -5 && x100 <= -11 && -3 * x101 + -1 * x102 <= -7 && -3 * x101 + -1 * x102 + -1 * x103 <= -4 && x103 + -2 * x102 = -5 && x103 <= -11 && x101 >= 7 && x102 <= -11 && x101 + x102 >= 4

(44) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(45) Obligation:

Rules:
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0

(46) CaseAnalysis (EQUIVALENT transformation)

Found the following inductive condition:
f_131(x, x1): -633 + 3·x≥0

(47) Complex Obligation (AND)

(48) Obligation:

Rules:
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0 && -633 + 3 * x84:0 >= 0

(49) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(50) Obligation:

Rules:
f_131(x84:0:0, x85:0:0) → f_131(81 * x84:0:0 + 27 * x85:0:0 + 9 * x86:0:0 + 3 * x87:0:0 + x88:0:0, x89:0:0) :|: x84:0:0 + -9 * x91:0:0 + -3 * x92:0:0 + -1 * x93:0:0 = 0 && 633 <= 3 * x84:0:0 && x85:0:0 + -1 * x90:0:0 = 0 && x94:0:0 < -10 && x94:0:0 + -2 * x95:0:0 = -5 && x96:0:0 > 6 && x95:0:0 < -10 && x96:0:0 + x95:0:0 >= 4 && x87:0:0 + -2 * x86:0:0 = -5 && x87:0:0 < -10 && -7 >= -3 * x84:0:0 + -1 * x85:0:0 && -4 >= -3 * x84:0:0 + -1 * x85:0:0 + -1 * x86:0:0 && 3 * x84:0:0 + x85:0:0 + -3 * x96:0:0 + -1 * x95:0:0 = 0 && x86:0:0 + -1 * x94:0:0 = 0 && x97:0:0 + -2 * x98:0:0 = -5 && x97:0:0 < -10 && x99:0:0 > 6 && x98:0:0 < -10 && x99:0:0 + x98:0:0 >= 4 && x86:0:0 + -2 * x85:0:0 = -5 && x86:0:0 < -10 && x84:0:0 > 6 && x85:0:0 < -10 && x84:0:0 + x85:0:0 >= 4 && x85:0:0 + -1 * x97:0:0 = 0 && x84:0:0 + -3 * x99:0:0 + -1 * x98:0:0 = 0 && x90:0:0 + -2 * x93:0:0 = -5 && x90:0:0 < -10 && -7 >= -3 * x91:0:0 + -1 * x92:0:0 && -4 >= -3 * x91:0:0 + -1 * x92:0:0 + -1 * x93:0:0 && x93:0:0 + -2 * x92:0:0 = -5 && x93:0:0 < -10 && x91:0:0 > 6 && x92:0:0 < -10 && x91:0:0 + x92:0:0 >= 4 && x87:0:0 + -1 * x100:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -9 * x101:0:0 + -3 * x102:0:0 + -1 * x103:0:0 = 0 && x104:0:0 < -10 && x104:0:0 + -2 * x105:0:0 = -5 && x106:0:0 > 6 && x105:0:0 < -10 && x106:0:0 + x105:0:0 >= 4 && x89:0:0 + -2 * x88:0:0 = -5 && x89:0:0 < -10 && -7 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 && -4 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 + -1 * x88:0:0 && 27 * x84:0:0 + 9 * x85:0:0 + 3 * x86:0:0 + x87:0:0 + -3 * x106:0:0 + -1 * x105:0:0 = 0 && x88:0:0 + -1 * x104:0:0 = 0 && x107:0:0 + -2 * x108:0:0 = -5 && x107:0:0 < -10 && x109:0:0 > 6 && x108:0:0 < -10 && x109:0:0 + x108:0:0 >= 4 && x88:0:0 + -2 * x87:0:0 = -5 && x88:0:0 < -10 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 >= 7 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + x87:0:0 >= 4 && x87:0:0 + -1 * x107:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -3 * x109:0:0 + -1 * x108:0:0 = 0 && x100:0:0 + -2 * x103:0:0 = -5 && x100:0:0 < -10 && -7 >= -3 * x101:0:0 + -1 * x102:0:0 && -4 >= -3 * x101:0:0 + -1 * x102:0:0 + -1 * x103:0:0 && x103:0:0 + -2 * x102:0:0 = -5 && x103:0:0 < -10 && x101:0:0 > 6 && x101:0:0 + x102:0:0 >= 4 && x102:0:0 < -10

(51) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x84:0:0, x85:0:0) → f_131(81 * x84:0:0 + 27 * x85:0:0 + 9 * x86:0:0 + 3 * x87:0:0 + x88:0:0, x89:0:0) :|: x84:0:0 + -9 * x91:0:0 + -3 * x92:0:0 + -1 * x93:0:0 = 0 && 633 <= 3 * x84:0:0 && x85:0:0 + -1 * x90:0:0 = 0 && x94:0:0 < -10 && x94:0:0 + -2 * x95:0:0 = -5 && x96:0:0 > 6 && x95:0:0 < -10 && x96:0:0 + x95:0:0 >= 4 && x87:0:0 + -2 * x86:0:0 = -5 && x87:0:0 < -10 && -7 >= -3 * x84:0:0 + -1 * x85:0:0 && -4 >= -3 * x84:0:0 + -1 * x85:0:0 + -1 * x86:0:0 && 3 * x84:0:0 + x85:0:0 + -3 * x96:0:0 + -1 * x95:0:0 = 0 && x86:0:0 + -1 * x94:0:0 = 0 && x97:0:0 + -2 * x98:0:0 = -5 && x97:0:0 < -10 && x99:0:0 > 6 && x98:0:0 < -10 && x99:0:0 + x98:0:0 >= 4 && x86:0:0 + -2 * x85:0:0 = -5 && x86:0:0 < -10 && x84:0:0 > 6 && x85:0:0 < -10 && x84:0:0 + x85:0:0 >= 4 && x85:0:0 + -1 * x97:0:0 = 0 && x84:0:0 + -3 * x99:0:0 + -1 * x98:0:0 = 0 && x90:0:0 + -2 * x93:0:0 = -5 && x90:0:0 < -10 && -7 >= -3 * x91:0:0 + -1 * x92:0:0 && -4 >= -3 * x91:0:0 + -1 * x92:0:0 + -1 * x93:0:0 && x93:0:0 + -2 * x92:0:0 = -5 && x93:0:0 < -10 && x91:0:0 > 6 && x92:0:0 < -10 && x91:0:0 + x92:0:0 >= 4 && x87:0:0 + -1 * x100:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -9 * x101:0:0 + -3 * x102:0:0 + -1 * x103:0:0 = 0 && x104:0:0 < -10 && x104:0:0 + -2 * x105:0:0 = -5 && x106:0:0 > 6 && x105:0:0 < -10 && x106:0:0 + x105:0:0 >= 4 && x89:0:0 + -2 * x88:0:0 = -5 && x89:0:0 < -10 && -7 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 && -4 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 + -1 * x88:0:0 && 27 * x84:0:0 + 9 * x85:0:0 + 3 * x86:0:0 + x87:0:0 + -3 * x106:0:0 + -1 * x105:0:0 = 0 && x88:0:0 + -1 * x104:0:0 = 0 && x107:0:0 + -2 * x108:0:0 = -5 && x107:0:0 < -10 && x109:0:0 > 6 && x108:0:0 < -10 && x109:0:0 + x108:0:0 >= 4 && x88:0:0 + -2 * x87:0:0 = -5 && x88:0:0 < -10 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 >= 7 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + x87:0:0 >= 4 && x87:0:0 + -1 * x107:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -3 * x109:0:0 + -1 * x108:0:0 = 0 && x100:0:0 + -2 * x103:0:0 = -5 && x100:0:0 < -10 && -7 >= -3 * x101:0:0 + -1 * x102:0:0 && -4 >= -3 * x101:0:0 + -1 * x102:0:0 + -1 * x103:0:0 && x103:0:0 + -2 * x102:0:0 = -5 && x103:0:0 < -10 && x101:0:0 > 6 && x101:0:0 + x102:0:0 >= 4 && x102:0:0 < -10
has been transformed into
f_131(x84:0:0, x85:0:0) → f_131(81 * x84:0:0 + 27 * x85:0:0 + 9 * x86:0:0 + 3 * x87:0:0 + x88:0:0, x89:0:0) :|: x85:0:0 = x57 && (x84:0:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x84:0:0 + -9 * x91:0:0 + -3 * x92:0:0 + -1 * x93:0:0 = 0 && 633 <= 3 * x84:0:0 && x85:0:0 + -1 * x90:0:0 = 0 && x94:0:0 < -10 && x94:0:0 + -2 * x95:0:0 = -5 && x96:0:0 > 6 && x95:0:0 < -10 && x96:0:0 + x95:0:0 >= 4 && x87:0:0 + -2 * x86:0:0 = -5 && x87:0:0 < -10 && -7 >= -3 * x84:0:0 + -1 * x85:0:0 && -4 >= -3 * x84:0:0 + -1 * x85:0:0 + -1 * x86:0:0 && 3 * x84:0:0 + x85:0:0 + -3 * x96:0:0 + -1 * x95:0:0 = 0 && x86:0:0 + -1 * x94:0:0 = 0 && x97:0:0 + -2 * x98:0:0 = -5 && x97:0:0 < -10 && x99:0:0 > 6 && x98:0:0 < -10 && x99:0:0 + x98:0:0 >= 4 && x86:0:0 + -2 * x85:0:0 = -5 && x86:0:0 < -10 && x84:0:0 > 6 && x85:0:0 < -10 && x84:0:0 + x85:0:0 >= 4 && x85:0:0 + -1 * x97:0:0 = 0 && x84:0:0 + -3 * x99:0:0 + -1 * x98:0:0 = 0 && x90:0:0 + -2 * x93:0:0 = -5 && x90:0:0 < -10 && -7 >= -3 * x91:0:0 + -1 * x92:0:0 && -4 >= -3 * x91:0:0 + -1 * x92:0:0 + -1 * x93:0:0 && x93:0:0 + -2 * x92:0:0 = -5 && x93:0:0 < -10 && x91:0:0 > 6 && x92:0:0 < -10 && x91:0:0 + x92:0:0 >= 4 && x87:0:0 + -1 * x100:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -9 * x101:0:0 + -3 * x102:0:0 + -1 * x103:0:0 = 0 && x104:0:0 < -10 && x104:0:0 + -2 * x105:0:0 = -5 && x106:0:0 > 6 && x105:0:0 < -10 && x106:0:0 + x105:0:0 >= 4 && x89:0:0 + -2 * x88:0:0 = -5 && x89:0:0 < -10 && -7 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 && -4 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 + -1 * x88:0:0 && 27 * x84:0:0 + 9 * x85:0:0 + 3 * x86:0:0 + x87:0:0 + -3 * x106:0:0 + -1 * x105:0:0 = 0 && x88:0:0 + -1 * x104:0:0 = 0 && x107:0:0 + -2 * x108:0:0 = -5 && x107:0:0 < -10 && x109:0:0 > 6 && x108:0:0 < -10 && x109:0:0 + x108:0:0 >= 4 && x88:0:0 + -2 * x87:0:0 = -5 && x88:0:0 < -10 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 >= 7 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + x87:0:0 >= 4 && x87:0:0 + -1 * x107:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -3 * x109:0:0 + -1 * x108:0:0 = 0 && x100:0:0 + -2 * x103:0:0 = -5 && x100:0:0 < -10 && -7 >= -3 * x101:0:0 + -1 * x102:0:0 && -4 >= -3 * x101:0:0 + -1 * x102:0:0 + -1 * x103:0:0 && x103:0:0 + -2 * x102:0:0 = -5 && x103:0:0 < -10 && x101:0:0 > 6 && x101:0:0 + x102:0:0 >= 4 && x102:0:0 < -10)) && 633 <= 3 * x52 && x55 + -2 * x54 = -5 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 && x54 + -2 * x53 = -5 && x54 < -10 && x52 > 6 && x53 < -10 && x52 + x53 >= 4 && x57 + -2 * x56 = -5 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x56 + -2 * x55 = -5 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4.


f_131(x84:0:0, x85:0:0) → f_131(81 * x84:0:0 + 27 * x85:0:0 + 9 * x86:0:0 + 3 * x87:0:0 + x88:0:0, x89:0:0) :|: x85:0:0 = x57 && (x84:0:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x84:0:0 + -9 * x91:0:0 + -3 * x92:0:0 + -1 * x93:0:0 = 0 && 633 <= 3 * x84:0:0 && x85:0:0 + -1 * x90:0:0 = 0 && x94:0:0 < -10 && x94:0:0 + -2 * x95:0:0 = -5 && x96:0:0 > 6 && x95:0:0 < -10 && x96:0:0 + x95:0:0 >= 4 && x87:0:0 + -2 * x86:0:0 = -5 && x87:0:0 < -10 && -7 >= -3 * x84:0:0 + -1 * x85:0:0 && -4 >= -3 * x84:0:0 + -1 * x85:0:0 + -1 * x86:0:0 && 3 * x84:0:0 + x85:0:0 + -3 * x96:0:0 + -1 * x95:0:0 = 0 && x86:0:0 + -1 * x94:0:0 = 0 && x97:0:0 + -2 * x98:0:0 = -5 && x97:0:0 < -10 && x99:0:0 > 6 && x98:0:0 < -10 && x99:0:0 + x98:0:0 >= 4 && x86:0:0 + -2 * x85:0:0 = -5 && x86:0:0 < -10 && x84:0:0 > 6 && x85:0:0 < -10 && x84:0:0 + x85:0:0 >= 4 && x85:0:0 + -1 * x97:0:0 = 0 && x84:0:0 + -3 * x99:0:0 + -1 * x98:0:0 = 0 && x90:0:0 + -2 * x93:0:0 = -5 && x90:0:0 < -10 && -7 >= -3 * x91:0:0 + -1 * x92:0:0 && -4 >= -3 * x91:0:0 + -1 * x92:0:0 + -1 * x93:0:0 && x93:0:0 + -2 * x92:0:0 = -5 && x93:0:0 < -10 && x91:0:0 > 6 && x92:0:0 < -10 && x91:0:0 + x92:0:0 >= 4 && x87:0:0 + -1 * x100:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -9 * x101:0:0 + -3 * x102:0:0 + -1 * x103:0:0 = 0 && x104:0:0 < -10 && x104:0:0 + -2 * x105:0:0 = -5 && x106:0:0 > 6 && x105:0:0 < -10 && x106:0:0 + x105:0:0 >= 4 && x89:0:0 + -2 * x88:0:0 = -5 && x89:0:0 < -10 && -7 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 && -4 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 + -1 * x88:0:0 && 27 * x84:0:0 + 9 * x85:0:0 + 3 * x86:0:0 + x87:0:0 + -3 * x106:0:0 + -1 * x105:0:0 = 0 && x88:0:0 + -1 * x104:0:0 = 0 && x107:0:0 + -2 * x108:0:0 = -5 && x107:0:0 < -10 && x109:0:0 > 6 && x108:0:0 < -10 && x109:0:0 + x108:0:0 >= 4 && x88:0:0 + -2 * x87:0:0 = -5 && x88:0:0 < -10 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 >= 7 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + x87:0:0 >= 4 && x87:0:0 + -1 * x107:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -3 * x109:0:0 + -1 * x108:0:0 = 0 && x100:0:0 + -2 * x103:0:0 = -5 && x100:0:0 < -10 && -7 >= -3 * x101:0:0 + -1 * x102:0:0 && -4 >= -3 * x101:0:0 + -1 * x102:0:0 + -1 * x103:0:0 && x103:0:0 + -2 * x102:0:0 = -5 && x103:0:0 < -10 && x101:0:0 > 6 && x101:0:0 + x102:0:0 >= 4 && x102:0:0 < -10)) && 633 <= 3 * x52 && x55 + -2 * x54 = -5 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 && x54 + -2 * x53 = -5 && x54 < -10 && x52 > 6 && x53 < -10 && x52 + x53 >= 4 && x57 + -2 * x56 = -5 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x56 + -2 * x55 = -5 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 and
f_131(x84:0:0, x85:0:0) → f_131(81 * x84:0:0 + 27 * x85:0:0 + 9 * x86:0:0 + 3 * x87:0:0 + x88:0:0, x89:0:0) :|: x85:0:0 = x57 && (x84:0:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x84:0:0 + -9 * x91:0:0 + -3 * x92:0:0 + -1 * x93:0:0 = 0 && 633 <= 3 * x84:0:0 && x85:0:0 + -1 * x90:0:0 = 0 && x94:0:0 < -10 && x94:0:0 + -2 * x95:0:0 = -5 && x96:0:0 > 6 && x95:0:0 < -10 && x96:0:0 + x95:0:0 >= 4 && x87:0:0 + -2 * x86:0:0 = -5 && x87:0:0 < -10 && -7 >= -3 * x84:0:0 + -1 * x85:0:0 && -4 >= -3 * x84:0:0 + -1 * x85:0:0 + -1 * x86:0:0 && 3 * x84:0:0 + x85:0:0 + -3 * x96:0:0 + -1 * x95:0:0 = 0 && x86:0:0 + -1 * x94:0:0 = 0 && x97:0:0 + -2 * x98:0:0 = -5 && x97:0:0 < -10 && x99:0:0 > 6 && x98:0:0 < -10 && x99:0:0 + x98:0:0 >= 4 && x86:0:0 + -2 * x85:0:0 = -5 && x86:0:0 < -10 && x84:0:0 > 6 && x85:0:0 < -10 && x84:0:0 + x85:0:0 >= 4 && x85:0:0 + -1 * x97:0:0 = 0 && x84:0:0 + -3 * x99:0:0 + -1 * x98:0:0 = 0 && x90:0:0 + -2 * x93:0:0 = -5 && x90:0:0 < -10 && -7 >= -3 * x91:0:0 + -1 * x92:0:0 && -4 >= -3 * x91:0:0 + -1 * x92:0:0 + -1 * x93:0:0 && x93:0:0 + -2 * x92:0:0 = -5 && x93:0:0 < -10 && x91:0:0 > 6 && x92:0:0 < -10 && x91:0:0 + x92:0:0 >= 4 && x87:0:0 + -1 * x100:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -9 * x101:0:0 + -3 * x102:0:0 + -1 * x103:0:0 = 0 && x104:0:0 < -10 && x104:0:0 + -2 * x105:0:0 = -5 && x106:0:0 > 6 && x105:0:0 < -10 && x106:0:0 + x105:0:0 >= 4 && x89:0:0 + -2 * x88:0:0 = -5 && x89:0:0 < -10 && -7 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 && -4 >= -27 * x84:0:0 + -9 * x85:0:0 + -3 * x86:0:0 + -1 * x87:0:0 + -1 * x88:0:0 && 27 * x84:0:0 + 9 * x85:0:0 + 3 * x86:0:0 + x87:0:0 + -3 * x106:0:0 + -1 * x105:0:0 = 0 && x88:0:0 + -1 * x104:0:0 = 0 && x107:0:0 + -2 * x108:0:0 = -5 && x107:0:0 < -10 && x109:0:0 > 6 && x108:0:0 < -10 && x109:0:0 + x108:0:0 >= 4 && x88:0:0 + -2 * x87:0:0 = -5 && x88:0:0 < -10 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 >= 7 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + x87:0:0 >= 4 && x87:0:0 + -1 * x107:0:0 = 0 && 9 * x84:0:0 + 3 * x85:0:0 + x86:0:0 + -3 * x109:0:0 + -1 * x108:0:0 = 0 && x100:0:0 + -2 * x103:0:0 = -5 && x100:0:0 < -10 && -7 >= -3 * x101:0:0 + -1 * x102:0:0 && -4 >= -3 * x101:0:0 + -1 * x102:0:0 + -1 * x103:0:0 && x103:0:0 + -2 * x102:0:0 = -5 && x103:0:0 < -10 && x101:0:0 > 6 && x101:0:0 + x102:0:0 >= 4 && x102:0:0 < -10)) && 633 <= 3 * x52 && x55 + -2 * x54 = -5 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 && x54 + -2 * x53 = -5 && x54 < -10 && x52 > 6 && x53 < -10 && x52 + x53 >= 4 && x57 + -2 * x56 = -5 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x56 + -2 * x55 = -5 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4
have been merged into the new rule
f_131(x142, x143) → f_131(81 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 27 * x147 + 9 * x148 + 3 * x149 + x150, x151) :|: x143 = x152 && (x142 = 81 * x153 + 27 * x154 + 9 * x155 + 3 * x156 + x157 && (x142 + -9 * x158 + -3 * x159 + -1 * x160 = 0 && 633 <= 3 * x142 && x143 + -1 * x161 = 0 && x162 < -10 && x162 + -2 * x163 = -5 && x164 > 6 && x163 < -10 && x164 + x163 >= 4 && x145 + -2 * x144 = -5 && x145 < -10 && -7 >= -3 * x142 + -1 * x143 && -4 >= -3 * x142 + -1 * x143 + -1 * x144 && 3 * x142 + x143 + -3 * x164 + -1 * x163 = 0 && x144 + -1 * x162 = 0 && x165 + -2 * x166 = -5 && x165 < -10 && x167 > 6 && x166 < -10 && x167 + x166 >= 4 && x144 + -2 * x143 = -5 && x144 < -10 && x142 > 6 && x143 < -10 && x142 + x143 >= 4 && x143 + -1 * x165 = 0 && x142 + -3 * x167 + -1 * x166 = 0 && x161 + -2 * x160 = -5 && x161 < -10 && -7 >= -3 * x158 + -1 * x159 && -4 >= -3 * x158 + -1 * x159 + -1 * x160 && x160 + -2 * x159 = -5 && x160 < -10 && x158 > 6 && x159 < -10 && x158 + x159 >= 4 && x145 + -1 * x168 = 0 && 9 * x142 + 3 * x143 + x144 + -9 * x169 + -3 * x170 + -1 * x171 = 0 && x172 < -10 && x172 + -2 * x173 = -5 && x174 > 6 && x173 < -10 && x174 + x173 >= 4 && x147 + -2 * x146 = -5 && x147 < -10 && -7 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 && -4 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 + -1 * x146 && 27 * x142 + 9 * x143 + 3 * x144 + x145 + -3 * x174 + -1 * x173 = 0 && x146 + -1 * x172 = 0 && x175 + -2 * x176 = -5 && x175 < -10 && x177 > 6 && x176 < -10 && x177 + x176 >= 4 && x146 + -2 * x145 = -5 && x146 < -10 && 9 * x142 + 3 * x143 + x144 >= 7 && 9 * x142 + 3 * x143 + x144 + x145 >= 4 && x145 + -1 * x175 = 0 && 9 * x142 + 3 * x143 + x144 + -3 * x177 + -1 * x176 = 0 && x168 + -2 * x171 = -5 && x168 < -10 && -7 >= -3 * x169 + -1 * x170 && -4 >= -3 * x169 + -1 * x170 + -1 * x171 && x171 + -2 * x170 = -5 && x171 < -10 && x169 > 6 && x169 + x170 >= 4 && x170 < -10)) && 633 <= 3 * x153 && x156 + -2 * x155 = -5 && x156 < -10 && -7 >= -3 * x153 + -1 * x154 && -4 >= -3 * x153 + -1 * x154 + -1 * x155 && x155 + -2 * x154 = -5 && x155 < -10 && x153 > 6 && x154 < -10 && x153 + x154 >= 4 && x152 + -2 * x157 = -5 && x152 < -10 && -7 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 && -4 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 + -1 * x157 && x157 + -2 * x156 = -5 && x157 < -10 && 9 * x153 + 3 * x154 + x155 >= 7 && 9 * x153 + 3 * x154 + x155 + x156 >= 4 && (x147 = x178 && (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 = 81 * x179 + 27 * x180 + 9 * x181 + 3 * x182 + x183 && (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -9 * x184 + -3 * x185 + -1 * x186 = 0 && 633 <= 3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) && x147 + -1 * x187 = 0 && x188 < -10 && x188 + -2 * x189 = -5 && x190 > 6 && x189 < -10 && x190 + x189 >= 4 && x149 + -2 * x148 = -5 && x149 < -10 && -7 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 && -4 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 + -1 * x148 && 3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + x147 + -3 * x190 + -1 * x189 = 0 && x148 + -1 * x188 = 0 && x191 + -2 * x192 = -5 && x191 < -10 && x193 > 6 && x192 < -10 && x193 + x192 >= 4 && x148 + -2 * x147 = -5 && x148 < -10 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 > 6 && x147 < -10 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + x147 >= 4 && x147 + -1 * x191 = 0 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -3 * x193 + -1 * x192 = 0 && x187 + -2 * x186 = -5 && x187 < -10 && -7 >= -3 * x184 + -1 * x185 && -4 >= -3 * x184 + -1 * x185 + -1 * x186 && x186 + -2 * x185 = -5 && x186 < -10 && x184 > 6 && x185 < -10 && x184 + x185 >= 4 && x149 + -1 * x194 = 0 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -9 * x195 + -3 * x196 + -1 * x197 = 0 && x198 < -10 && x198 + -2 * x199 = -5 && x200 > 6 && x199 < -10 && x200 + x199 >= 4 && x151 + -2 * x150 = -5 && x151 < -10 && -7 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 && -4 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 + -1 * x150 && 27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 9 * x147 + 3 * x148 + x149 + -3 * x200 + -1 * x199 = 0 && x150 + -1 * x198 = 0 && x201 + -2 * x202 = -5 && x201 < -10 && x203 > 6 && x202 < -10 && x203 + x202 >= 4 && x150 + -2 * x149 = -5 && x150 < -10 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 >= 7 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + x149 >= 4 && x149 + -1 * x201 = 0 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -3 * x203 + -1 * x202 = 0 && x194 + -2 * x197 = -5 && x194 < -10 && -7 >= -3 * x195 + -1 * x196 && -4 >= -3 * x195 + -1 * x196 + -1 * x197 && x197 + -2 * x196 = -5 && x197 < -10 && x195 > 6 && x195 + x196 >= 4 && x196 < -10)) && 633 <= 3 * x179 && x182 + -2 * x181 = -5 && x182 < -10 && -7 >= -3 * x179 + -1 * x180 && -4 >= -3 * x179 + -1 * x180 + -1 * x181 && x181 + -2 * x180 = -5 && x181 < -10 && x179 > 6 && x180 < -10 && x179 + x180 >= 4 && x178 + -2 * x183 = -5 && x178 < -10 && -7 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 && -4 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 + -1 * x183 && x183 + -2 * x182 = -5 && x183 < -10 && 9 * x179 + 3 * x180 + x181 >= 7 && 9 * x179 + 3 * x180 + x181 + x182 >= 4)

(52) Obligation:

Rules:
f_131(x204, x205) → f_131(6561 * x204 + 2187 * x205 + 729 * x206 + 243 * x207 + 81 * x208 + 27 * x209 + 9 * x210 + 3 * x211 + x212, x213) :|: TRUE && x205 + -1 * x214 = 0 && x204 + -81 * x215 + -27 * x216 + -9 * x217 + -3 * x218 + -1 * x219 = 0 && x204 + -9 * x220 + -3 * x221 + -1 * x222 = 0 && -1 * x204 <= -211 && x205 + -1 * x223 = 0 && x224 <= -11 && x224 + -2 * x225 = -5 && x226 >= 7 && x225 <= -11 && x226 + x225 >= 4 && x207 + -2 * x206 = -5 && x207 <= -11 && 3 * x204 + x205 >= 7 && 3 * x204 + x205 + x206 >= 4 && 3 * x204 + x205 + -3 * x226 + -1 * x225 = 0 && x206 + -1 * x224 = 0 && x227 + -2 * x228 = -5 && x227 <= -11 && x229 >= 7 && x228 <= -11 && x229 + x228 >= 4 && x206 + -2 * x205 = -5 && x206 <= -11 && x205 <= -11 && x204 + x205 >= 4 && x205 + -1 * x227 = 0 && x204 + -3 * x229 + -1 * x228 = 0 && x223 + -2 * x222 = -5 && x223 <= -11 && 3 * x220 + x221 >= 7 && 3 * x220 + x221 + x222 >= 4 && x222 + -2 * x221 = -5 && x222 <= -11 && x220 >= 7 && x221 <= -11 && x220 + x221 >= 4 && x207 + -1 * x230 = 0 && 9 * x204 + 3 * x205 + x206 + -9 * x231 + -3 * x232 + -1 * x233 = 0 && x234 <= -11 && x234 + -2 * x235 = -5 && x236 >= 7 && x235 <= -11 && x236 + x235 >= 4 && x209 + -2 * x208 = -5 && x209 <= -11 && 27 * x204 + 9 * x205 + 3 * x206 + x207 >= 7 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + x208 >= 4 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + -3 * x236 + -1 * x235 = 0 && x208 + -1 * x234 = 0 && x237 + -2 * x238 = -5 && x237 <= -11 && x239 >= 7 && x238 <= -11 && x239 + x238 >= 4 && x208 + -2 * x207 = -5 && x208 <= -11 && 9 * x204 + 3 * x205 + x206 >= 7 && 9 * x204 + 3 * x205 + x206 + x207 >= 4 && x207 + -1 * x237 = 0 && 9 * x204 + 3 * x205 + x206 + -3 * x239 + -1 * x238 = 0 && x230 + -2 * x233 = -5 && x230 <= -11 && 3 * x231 + x232 >= 7 && 3 * x231 + x232 + x233 >= 4 && x233 + -2 * x232 = -5 && x233 <= -11 && x231 >= 7 && x231 + x232 >= 4 && x232 <= -11 && -1 * x215 <= -211 && x218 + -2 * x217 = -5 && x218 <= -11 && 3 * x215 + x216 >= 7 && 3 * x215 + x216 + x217 >= 4 && x217 + -2 * x216 = -5 && x217 <= -11 && x216 <= -11 && x215 + x216 >= 4 && x214 + -2 * x219 = -5 && x214 <= -11 && 27 * x215 + 9 * x216 + 3 * x217 + x218 >= 7 && 27 * x215 + 9 * x216 + 3 * x217 + x218 + x219 >= 4 && x219 + -2 * x218 = -5 && x219 <= -11 && 9 * x215 + 3 * x216 + x217 >= 7 && 9 * x215 + 3 * x216 + x217 + x218 >= 4 && x209 + -1 * x240 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -81 * x241 + -27 * x242 + -9 * x243 + -3 * x244 + -1 * x245 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -9 * x246 + -3 * x247 + -1 * x248 = 0 && -81 * x204 + -27 * x205 + -9 * x206 + -3 * x207 + -1 * x208 <= -211 && x209 + -1 * x249 = 0 && x250 <= -11 && x250 + -2 * x251 = -5 && x252 >= 7 && x251 <= -11 && x252 + x251 >= 4 && x211 + -2 * x210 = -5 && x211 <= -11 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 >= 7 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + x210 >= 4 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + -3 * x252 + -1 * x251 = 0 && x210 + -1 * x250 = 0 && x253 + -2 * x254 = -5 && x253 <= -11 && x255 >= 7 && x254 <= -11 && x255 + x254 >= 4 && x210 + -2 * x209 = -5 && x210 <= -11 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + x209 >= 4 && x209 + -1 * x253 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -3 * x255 + -1 * x254 = 0 && x249 + -2 * x248 = -5 && x249 <= -11 && 3 * x246 + x247 >= 7 && 3 * x246 + x247 + x248 >= 4 && x248 + -2 * x247 = -5 && x248 <= -11 && x246 >= 7 && x247 <= -11 && x246 + x247 >= 4 && x211 + -1 * x256 = 0 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -9 * x257 + -3 * x258 + -1 * x259 = 0 && x260 <= -11 && x260 + -2 * x261 = -5 && x262 >= 7 && x261 <= -11 && x262 + x261 >= 4 && x213 + -2 * x212 = -5 && x213 <= -11 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 >= 7 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + x212 >= 4 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + -3 * x262 + -1 * x261 = 0 && x212 + -1 * x260 = 0 && x263 + -2 * x264 = -5 && x263 <= -11 && x265 >= 7 && x264 <= -11 && x265 + x264 >= 4 && x212 + -2 * x211 = -5 && x212 <= -11 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 >= 7 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + x211 >= 4 && x211 + -1 * x263 = 0 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -3 * x265 + -1 * x264 = 0 && x256 + -2 * x259 = -5 && x256 <= -11 && 3 * x257 + x258 >= 7 && 3 * x257 + x258 + x259 >= 4 && x259 + -2 * x258 = -5 && x259 <= -11 && x257 >= 7 && x257 + x258 >= 4 && x258 <= -11 && -1 * x241 <= -211 && x244 + -2 * x243 = -5 && x244 <= -11 && 3 * x241 + x242 >= 7 && 3 * x241 + x242 + x243 >= 4 && x243 + -2 * x242 = -5 && x243 <= -11 && x242 <= -11 && x241 + x242 >= 4 && x240 + -2 * x245 = -5 && x240 <= -11 && 27 * x241 + 9 * x242 + 3 * x243 + x244 >= 7 && 27 * x241 + 9 * x242 + 3 * x243 + x244 + x245 >= 4 && x245 + -2 * x244 = -5 && x245 <= -11 && 9 * x241 + 3 * x242 + x243 >= 7 && 9 * x241 + 3 * x242 + x243 + x244 >= 4

(53) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(54) Obligation:

Rules:
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 3 * x241:0 + x242:0 + x243:0 && 7 <= 3 * x241:0 + x242:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && -211 >= -1 * x241:0 && x258:0 < -10 && x257:0 + x258:0 >= 4 && x257:0 > 6 && x259:0 < -10 && x259:0 + -2 * x258:0 = -5 && 4 <= 3 * x257:0 + x258:0 + x259:0 && 7 <= 3 * x257:0 + x258:0 && x256:0 < -10 && x256:0 + -2 * x259:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x265:0 + -1 * x264:0 = 0 && x211:0 + -1 * x263:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x265:0 + x264:0 >= 4 && x264:0 < -10 && x265:0 > 6 && x263:0 < -10 && x263:0 + -2 * x264:0 = -5 && x212:0 + -1 * x260:0 = 0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x262:0 + -1 * x261:0 = 0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && x262:0 + x261:0 >= 4 && x261:0 < -10 && x262:0 > 6 && x260:0 + -2 * x261:0 = -5 && x260:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x257:0 + -3 * x258:0 + -1 * x259:0 = 0 && x211:0 + -1 * x256:0 = 0 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x248:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x255:0 + -1 * x254:0 = 0 && x209:0 + -1 * x253:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x255:0 + x254:0 >= 4 && x254:0 < -10 && x255:0 > 6 && x253:0 < -10 && x253:0 + -2 * x254:0 = -5 && x210:0 + -1 * x250:0 = 0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x252:0 + -1 * x251:0 = 0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && x252:0 + x251:0 >= 4 && x251:0 < -10 && x252:0 > 6 && x250:0 + -2 * x251:0 = -5 && x250:0 < -10 && x209:0 + -1 * x249:0 = 0 && -81 * x204:0 + -27 * x205:0 + -9 * x206:0 + -3 * x207:0 + -1 * x208:0 <= -211 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && -211 >= -1 * x215:0 && x232:0 < -10 && x231:0 + x232:0 >= 4 && x231:0 > 6 && x233:0 < -10 && x233:0 + -2 * x232:0 = -5 && 4 <= 3 * x231:0 + x232:0 + x233:0 && 7 <= 3 * x231:0 + x232:0 && x230:0 < -10 && x230:0 + -2 * x233:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x239:0 + -1 * x238:0 = 0 && x207:0 + -1 * x237:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x239:0 + x238:0 >= 4 && x238:0 < -10 && x239:0 > 6 && x237:0 < -10 && x237:0 + -2 * x238:0 = -5 && x208:0 + -1 * x234:0 = 0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x236:0 + -1 * x235:0 = 0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && x236:0 + x235:0 >= 4 && x235:0 < -10 && x236:0 > 6 && x234:0 + -2 * x235:0 = -5 && x234:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x231:0 + -3 * x232:0 + -1 * x233:0 = 0 && x207:0 + -1 * x230:0 = 0 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x222:0 = -5 && x204:0 + -3 * x229:0 + -1 * x228:0 = 0 && x205:0 + -1 * x227:0 = 0 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x229:0 + x228:0 >= 4 && x228:0 < -10 && x229:0 > 6 && x227:0 < -10 && x227:0 + -2 * x228:0 = -5 && x206:0 + -1 * x224:0 = 0 && 3 * x204:0 + x205:0 + -3 * x226:0 + -1 * x225:0 = 0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && x226:0 + x225:0 >= 4 && x225:0 < -10 && x226:0 > 6 && x224:0 + -2 * x225:0 = -5 && x224:0 < -10 && x205:0 + -1 * x223:0 = 0 && -211 >= -1 * x204:0 && x204:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0

(55) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 3 * x241:0 + x242:0 + x243:0 && 7 <= 3 * x241:0 + x242:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && -211 >= -1 * x241:0 && x258:0 < -10 && x257:0 + x258:0 >= 4 && x257:0 > 6 && x259:0 < -10 && x259:0 + -2 * x258:0 = -5 && 4 <= 3 * x257:0 + x258:0 + x259:0 && 7 <= 3 * x257:0 + x258:0 && x256:0 < -10 && x256:0 + -2 * x259:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x265:0 + -1 * x264:0 = 0 && x211:0 + -1 * x263:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x265:0 + x264:0 >= 4 && x264:0 < -10 && x265:0 > 6 && x263:0 < -10 && x263:0 + -2 * x264:0 = -5 && x212:0 + -1 * x260:0 = 0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x262:0 + -1 * x261:0 = 0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && x262:0 + x261:0 >= 4 && x261:0 < -10 && x262:0 > 6 && x260:0 + -2 * x261:0 = -5 && x260:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x257:0 + -3 * x258:0 + -1 * x259:0 = 0 && x211:0 + -1 * x256:0 = 0 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x248:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x255:0 + -1 * x254:0 = 0 && x209:0 + -1 * x253:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x255:0 + x254:0 >= 4 && x254:0 < -10 && x255:0 > 6 && x253:0 < -10 && x253:0 + -2 * x254:0 = -5 && x210:0 + -1 * x250:0 = 0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x252:0 + -1 * x251:0 = 0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && x252:0 + x251:0 >= 4 && x251:0 < -10 && x252:0 > 6 && x250:0 + -2 * x251:0 = -5 && x250:0 < -10 && x209:0 + -1 * x249:0 = 0 && -81 * x204:0 + -27 * x205:0 + -9 * x206:0 + -3 * x207:0 + -1 * x208:0 <= -211 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && -211 >= -1 * x215:0 && x232:0 < -10 && x231:0 + x232:0 >= 4 && x231:0 > 6 && x233:0 < -10 && x233:0 + -2 * x232:0 = -5 && 4 <= 3 * x231:0 + x232:0 + x233:0 && 7 <= 3 * x231:0 + x232:0 && x230:0 < -10 && x230:0 + -2 * x233:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x239:0 + -1 * x238:0 = 0 && x207:0 + -1 * x237:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x239:0 + x238:0 >= 4 && x238:0 < -10 && x239:0 > 6 && x237:0 < -10 && x237:0 + -2 * x238:0 = -5 && x208:0 + -1 * x234:0 = 0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x236:0 + -1 * x235:0 = 0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && x236:0 + x235:0 >= 4 && x235:0 < -10 && x236:0 > 6 && x234:0 + -2 * x235:0 = -5 && x234:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x231:0 + -3 * x232:0 + -1 * x233:0 = 0 && x207:0 + -1 * x230:0 = 0 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x222:0 = -5 && x204:0 + -3 * x229:0 + -1 * x228:0 = 0 && x205:0 + -1 * x227:0 = 0 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x229:0 + x228:0 >= 4 && x228:0 < -10 && x229:0 > 6 && x227:0 < -10 && x227:0 + -2 * x228:0 = -5 && x206:0 + -1 * x224:0 = 0 && 3 * x204:0 + x205:0 + -3 * x226:0 + -1 * x225:0 = 0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && x226:0 + x225:0 >= 4 && x225:0 < -10 && x226:0 > 6 && x224:0 + -2 * x225:0 = -5 && x224:0 < -10 && x205:0 + -1 * x223:0 = 0 && -211 >= -1 * x204:0 && x204:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0
has been transformed into
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 3 * x241:0 + x242:0 + x243:0 && 7 <= 3 * x241:0 + x242:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && -211 >= -1 * x241:0 && x258:0 < -10 && x257:0 + x258:0 >= 4 && x257:0 > 6 && x259:0 < -10 && x259:0 + -2 * x258:0 = -5 && 4 <= 3 * x257:0 + x258:0 + x259:0 && 7 <= 3 * x257:0 + x258:0 && x256:0 < -10 && x256:0 + -2 * x259:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x265:0 + -1 * x264:0 = 0 && x211:0 + -1 * x263:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x265:0 + x264:0 >= 4 && x264:0 < -10 && x265:0 > 6 && x263:0 < -10 && x263:0 + -2 * x264:0 = -5 && x212:0 + -1 * x260:0 = 0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x262:0 + -1 * x261:0 = 0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && x262:0 + x261:0 >= 4 && x261:0 < -10 && x262:0 > 6 && x260:0 + -2 * x261:0 = -5 && x260:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x257:0 + -3 * x258:0 + -1 * x259:0 = 0 && x211:0 + -1 * x256:0 = 0 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x248:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x255:0 + -1 * x254:0 = 0 && x209:0 + -1 * x253:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x255:0 + x254:0 >= 4 && x254:0 < -10 && x255:0 > 6 && x253:0 < -10 && x253:0 + -2 * x254:0 = -5 && x210:0 + -1 * x250:0 = 0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x252:0 + -1 * x251:0 = 0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && x252:0 + x251:0 >= 4 && x251:0 < -10 && x252:0 > 6 && x250:0 + -2 * x251:0 = -5 && x250:0 < -10 && x209:0 + -1 * x249:0 = 0 && -81 * x204:0 + -27 * x205:0 + -9 * x206:0 + -3 * x207:0 + -1 * x208:0 <= -211 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && -211 >= -1 * x215:0 && x232:0 < -10 && x231:0 + x232:0 >= 4 && x231:0 > 6 && x233:0 < -10 && x233:0 + -2 * x232:0 = -5 && 4 <= 3 * x231:0 + x232:0 + x233:0 && 7 <= 3 * x231:0 + x232:0 && x230:0 < -10 && x230:0 + -2 * x233:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x239:0 + -1 * x238:0 = 0 && x207:0 + -1 * x237:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x239:0 + x238:0 >= 4 && x238:0 < -10 && x239:0 > 6 && x237:0 < -10 && x237:0 + -2 * x238:0 = -5 && x208:0 + -1 * x234:0 = 0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x236:0 + -1 * x235:0 = 0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && x236:0 + x235:0 >= 4 && x235:0 < -10 && x236:0 > 6 && x234:0 + -2 * x235:0 = -5 && x234:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x231:0 + -3 * x232:0 + -1 * x233:0 = 0 && x207:0 + -1 * x230:0 = 0 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x222:0 = -5 && x204:0 + -3 * x229:0 + -1 * x228:0 = 0 && x205:0 + -1 * x227:0 = 0 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x229:0 + x228:0 >= 4 && x228:0 < -10 && x229:0 > 6 && x227:0 < -10 && x227:0 + -2 * x228:0 = -5 && x206:0 + -1 * x224:0 = 0 && 3 * x204:0 + x205:0 + -3 * x226:0 + -1 * x225:0 = 0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && x226:0 + x225:0 >= 4 && x225:0 < -10 && x226:0 > 6 && x224:0 + -2 * x225:0 = -5 && x224:0 < -10 && x205:0 + -1 * x223:0 = 0 && -211 >= -1 * x204:0 && x204:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && x132 + -2 * x131 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && x133 + -2 * x132 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && x130 < -10 && x130 + -2 * x129 = -5 && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && x131 + -2 * x130 = -5 && -81 * x124 + -27 * x125 + -9 * x126 + -3 * x127 + -1 * x128 <= -211 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && x128 + -2 * x127 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && x129 + -2 * x128 = -5 && x124 + x125 >= 4 && x125 < -10 && x126 < -10 && x126 + -2 * x125 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && x127 + -2 * x126 = -5 && -211 >= -1 * x124.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 3 * x241:0 + x242:0 + x243:0 && 7 <= 3 * x241:0 + x242:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && -211 >= -1 * x241:0 && x258:0 < -10 && x257:0 + x258:0 >= 4 && x257:0 > 6 && x259:0 < -10 && x259:0 + -2 * x258:0 = -5 && 4 <= 3 * x257:0 + x258:0 + x259:0 && 7 <= 3 * x257:0 + x258:0 && x256:0 < -10 && x256:0 + -2 * x259:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x265:0 + -1 * x264:0 = 0 && x211:0 + -1 * x263:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x265:0 + x264:0 >= 4 && x264:0 < -10 && x265:0 > 6 && x263:0 < -10 && x263:0 + -2 * x264:0 = -5 && x212:0 + -1 * x260:0 = 0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x262:0 + -1 * x261:0 = 0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && x262:0 + x261:0 >= 4 && x261:0 < -10 && x262:0 > 6 && x260:0 + -2 * x261:0 = -5 && x260:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x257:0 + -3 * x258:0 + -1 * x259:0 = 0 && x211:0 + -1 * x256:0 = 0 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x248:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x255:0 + -1 * x254:0 = 0 && x209:0 + -1 * x253:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x255:0 + x254:0 >= 4 && x254:0 < -10 && x255:0 > 6 && x253:0 < -10 && x253:0 + -2 * x254:0 = -5 && x210:0 + -1 * x250:0 = 0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x252:0 + -1 * x251:0 = 0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && x252:0 + x251:0 >= 4 && x251:0 < -10 && x252:0 > 6 && x250:0 + -2 * x251:0 = -5 && x250:0 < -10 && x209:0 + -1 * x249:0 = 0 && -81 * x204:0 + -27 * x205:0 + -9 * x206:0 + -3 * x207:0 + -1 * x208:0 <= -211 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && -211 >= -1 * x215:0 && x232:0 < -10 && x231:0 + x232:0 >= 4 && x231:0 > 6 && x233:0 < -10 && x233:0 + -2 * x232:0 = -5 && 4 <= 3 * x231:0 + x232:0 + x233:0 && 7 <= 3 * x231:0 + x232:0 && x230:0 < -10 && x230:0 + -2 * x233:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x239:0 + -1 * x238:0 = 0 && x207:0 + -1 * x237:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x239:0 + x238:0 >= 4 && x238:0 < -10 && x239:0 > 6 && x237:0 < -10 && x237:0 + -2 * x238:0 = -5 && x208:0 + -1 * x234:0 = 0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x236:0 + -1 * x235:0 = 0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && x236:0 + x235:0 >= 4 && x235:0 < -10 && x236:0 > 6 && x234:0 + -2 * x235:0 = -5 && x234:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x231:0 + -3 * x232:0 + -1 * x233:0 = 0 && x207:0 + -1 * x230:0 = 0 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x222:0 = -5 && x204:0 + -3 * x229:0 + -1 * x228:0 = 0 && x205:0 + -1 * x227:0 = 0 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x229:0 + x228:0 >= 4 && x228:0 < -10 && x229:0 > 6 && x227:0 < -10 && x227:0 + -2 * x228:0 = -5 && x206:0 + -1 * x224:0 = 0 && 3 * x204:0 + x205:0 + -3 * x226:0 + -1 * x225:0 = 0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && x226:0 + x225:0 >= 4 && x225:0 < -10 && x226:0 > 6 && x224:0 + -2 * x225:0 = -5 && x224:0 < -10 && x205:0 + -1 * x223:0 = 0 && -211 >= -1 * x204:0 && x204:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && x132 + -2 * x131 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && x133 + -2 * x132 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && x130 < -10 && x130 + -2 * x129 = -5 && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && x131 + -2 * x130 = -5 && -81 * x124 + -27 * x125 + -9 * x126 + -3 * x127 + -1 * x128 <= -211 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && x128 + -2 * x127 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && x129 + -2 * x128 = -5 && x124 + x125 >= 4 && x125 < -10 && x126 < -10 && x126 + -2 * x125 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && x127 + -2 * x126 = -5 && -211 >= -1 * x124 and
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && x245:0 < -10 && x245:0 + -2 * x244:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && x240:0 + -2 * x245:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x243:0 < -10 && x243:0 + -2 * x242:0 = -5 && 4 <= 3 * x241:0 + x242:0 + x243:0 && 7 <= 3 * x241:0 + x242:0 && x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && -211 >= -1 * x241:0 && x258:0 < -10 && x257:0 + x258:0 >= 4 && x257:0 > 6 && x259:0 < -10 && x259:0 + -2 * x258:0 = -5 && 4 <= 3 * x257:0 + x258:0 + x259:0 && 7 <= 3 * x257:0 + x258:0 && x256:0 < -10 && x256:0 + -2 * x259:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x265:0 + -1 * x264:0 = 0 && x211:0 + -1 * x263:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && x212:0 + -2 * x211:0 = -5 && x265:0 + x264:0 >= 4 && x264:0 < -10 && x265:0 > 6 && x263:0 < -10 && x263:0 + -2 * x264:0 = -5 && x212:0 + -1 * x260:0 = 0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x262:0 + -1 * x261:0 = 0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && x213:0 + -2 * x212:0 = -5 && x262:0 + x261:0 >= 4 && x261:0 < -10 && x262:0 > 6 && x260:0 + -2 * x261:0 = -5 && x260:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x257:0 + -3 * x258:0 + -1 * x259:0 = 0 && x211:0 + -1 * x256:0 = 0 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && x249:0 + -2 * x248:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x255:0 + -1 * x254:0 = 0 && x209:0 + -1 * x253:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x210:0 < -10 && x210:0 + -2 * x209:0 = -5 && x255:0 + x254:0 >= 4 && x254:0 < -10 && x255:0 > 6 && x253:0 < -10 && x253:0 + -2 * x254:0 = -5 && x210:0 + -1 * x250:0 = 0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x252:0 + -1 * x251:0 = 0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && x211:0 + -2 * x210:0 = -5 && x252:0 + x251:0 >= 4 && x251:0 < -10 && x252:0 > 6 && x250:0 + -2 * x251:0 = -5 && x250:0 < -10 && x209:0 + -1 * x249:0 = 0 && -81 * x204:0 + -27 * x205:0 + -9 * x206:0 + -3 * x207:0 + -1 * x208:0 <= -211 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && x219:0 + -2 * x218:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && x214:0 + -2 * x219:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x217:0 < -10 && x217:0 + -2 * x216:0 = -5 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && x218:0 + -2 * x217:0 = -5 && -211 >= -1 * x215:0 && x232:0 < -10 && x231:0 + x232:0 >= 4 && x231:0 > 6 && x233:0 < -10 && x233:0 + -2 * x232:0 = -5 && 4 <= 3 * x231:0 + x232:0 + x233:0 && 7 <= 3 * x231:0 + x232:0 && x230:0 < -10 && x230:0 + -2 * x233:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x239:0 + -1 * x238:0 = 0 && x207:0 + -1 * x237:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && x208:0 + -2 * x207:0 = -5 && x239:0 + x238:0 >= 4 && x238:0 < -10 && x239:0 > 6 && x237:0 < -10 && x237:0 + -2 * x238:0 = -5 && x208:0 + -1 * x234:0 = 0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x236:0 + -1 * x235:0 = 0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && x209:0 + -2 * x208:0 = -5 && x236:0 + x235:0 >= 4 && x235:0 < -10 && x236:0 > 6 && x234:0 + -2 * x235:0 = -5 && x234:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x231:0 + -3 * x232:0 + -1 * x233:0 = 0 && x207:0 + -1 * x230:0 = 0 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && x223:0 + -2 * x222:0 = -5 && x204:0 + -3 * x229:0 + -1 * x228:0 = 0 && x205:0 + -1 * x227:0 = 0 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x206:0 < -10 && x206:0 + -2 * x205:0 = -5 && x229:0 + x228:0 >= 4 && x228:0 < -10 && x229:0 > 6 && x227:0 < -10 && x227:0 + -2 * x228:0 = -5 && x206:0 + -1 * x224:0 = 0 && 3 * x204:0 + x205:0 + -3 * x226:0 + -1 * x225:0 = 0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && x207:0 + -2 * x206:0 = -5 && x226:0 + x225:0 >= 4 && x225:0 < -10 && x226:0 > 6 && x224:0 + -2 * x225:0 = -5 && x224:0 < -10 && x205:0 + -1 * x223:0 = 0 && -211 >= -1 * x204:0 && x204:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && x132 + -2 * x131 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && x133 + -2 * x132 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && x130 < -10 && x130 + -2 * x129 = -5 && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && x131 + -2 * x130 = -5 && -81 * x124 + -27 * x125 + -9 * x126 + -3 * x127 + -1 * x128 <= -211 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && x128 + -2 * x127 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && x129 + -2 * x128 = -5 && x124 + x125 >= 4 && x125 < -10 && x126 < -10 && x126 + -2 * x125 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && x127 + -2 * x126 = -5 && -211 >= -1 * x124
have been merged into the new rule
f_131(x330, x331) → f_131(6561 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 2187 * x339 + 729 * x340 + 243 * x341 + 81 * x342 + 27 * x343 + 9 * x344 + 3 * x345 + x346, x347) :|: x331 = x348 && (x330 = 6561 * x349 + 2187 * x350 + 729 * x351 + 243 * x352 + 81 * x353 + 27 * x354 + 9 * x355 + 3 * x356 + x357 && (9 * x358 + 3 * x359 + x360 >= 7 && 9 * x358 + 3 * x359 + x360 + x361 >= 4 && x362 < -10 && x362 + -2 * x361 = -5 && 4 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 + x362 && 7 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 && x363 < -10 && x363 + -2 * x362 = -5 && x358 + x359 >= 4 && x359 < -10 && x360 < -10 && x360 + -2 * x359 = -5 && 4 <= 3 * x358 + x359 + x360 && 7 <= 3 * x358 + x359 && x361 < -10 && x361 + -2 * x360 = -5 && -211 >= -1 * x358 && x364 < -10 && x365 + x364 >= 4 && x365 > 6 && x366 < -10 && x366 + -2 * x364 = -5 && 4 <= 3 * x365 + x364 + x366 && 7 <= 3 * x365 + x364 && x367 < -10 && x367 + -2 * x366 = -5 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -3 * x368 + -1 * x369 = 0 && x337 + -1 * x370 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + x337 >= 4 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 >= 7 && x338 < -10 && x338 + -2 * x337 = -5 && x368 + x369 >= 4 && x369 < -10 && x368 > 6 && x370 < -10 && x370 + -2 * x369 = -5 && x338 + -1 * x371 = 0 && 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + -3 * x372 + -1 * x373 = 0 && 4 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + x338 && 7 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 && x339 < -10 && x339 + -2 * x338 = -5 && x372 + x373 >= 4 && x373 < -10 && x372 > 6 && x371 + -2 * x373 = -5 && x371 < -10 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -9 * x365 + -3 * x364 + -1 * x366 = 0 && x337 + -1 * x367 = 0 && x374 + x375 >= 4 && x375 < -10 && x374 > 6 && x376 < -10 && x376 + -2 * x375 = -5 && 4 <= 3 * x374 + x375 + x376 && 7 <= 3 * x374 + x375 && x377 < -10 && x377 + -2 * x376 = -5 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -3 * x378 + -1 * x379 = 0 && x335 + -1 * x380 = 0 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + x335 >= 4 && x336 < -10 && x336 + -2 * x335 = -5 && x378 + x379 >= 4 && x379 < -10 && x378 > 6 && x380 < -10 && x380 + -2 * x379 = -5 && x336 + -1 * x381 = 0 && 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + -3 * x382 + -1 * x383 = 0 && 4 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + x336 && 7 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 && x337 < -10 && x337 + -2 * x336 = -5 && x382 + x383 >= 4 && x383 < -10 && x382 > 6 && x381 + -2 * x383 = -5 && x381 < -10 && x335 + -1 * x377 = 0 && -81 * x330 + -27 * x331 + -9 * x332 + -3 * x333 + -1 * x334 <= -211 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -9 * x374 + -3 * x375 + -1 * x376 = 0 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -81 * x358 + -27 * x359 + -9 * x360 + -3 * x361 + -1 * x362 = 0 && x335 + -1 * x363 = 0 && 9 * x384 + 3 * x385 + x386 + x387 >= 4 && 9 * x384 + 3 * x385 + x386 >= 7 && x388 < -10 && x388 + -2 * x387 = -5 && 4 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 + x388 && 7 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 && x389 < -10 && x389 + -2 * x388 = -5 && x384 + x385 >= 4 && x385 < -10 && x386 < -10 && x386 + -2 * x385 = -5 && 4 <= 3 * x384 + x385 + x386 && 7 <= 3 * x384 + x385 && x387 < -10 && x387 + -2 * x386 = -5 && -211 >= -1 * x384 && x390 < -10 && x391 + x390 >= 4 && x391 > 6 && x392 < -10 && x392 + -2 * x390 = -5 && 4 <= 3 * x391 + x390 + x392 && 7 <= 3 * x391 + x390 && x393 < -10 && x393 + -2 * x392 = -5 && 9 * x330 + 3 * x331 + x332 + -3 * x394 + -1 * x395 = 0 && x333 + -1 * x396 = 0 && 9 * x330 + 3 * x331 + x332 + x333 >= 4 && 9 * x330 + 3 * x331 + x332 >= 7 && x334 < -10 && x334 + -2 * x333 = -5 && x394 + x395 >= 4 && x395 < -10 && x394 > 6 && x396 < -10 && x396 + -2 * x395 = -5 && x334 + -1 * x397 = 0 && 27 * x330 + 9 * x331 + 3 * x332 + x333 + -3 * x398 + -1 * x399 = 0 && 4 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 + x334 && 7 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 && x335 < -10 && x335 + -2 * x334 = -5 && x398 + x399 >= 4 && x399 < -10 && x398 > 6 && x397 + -2 * x399 = -5 && x397 < -10 && 9 * x330 + 3 * x331 + x332 + -9 * x391 + -3 * x390 + -1 * x392 = 0 && x333 + -1 * x393 = 0 && x400 + x401 >= 4 && x401 < -10 && x400 > 6 && x402 < -10 && x402 + -2 * x401 = -5 && 4 <= 3 * x400 + x401 + x402 && 7 <= 3 * x400 + x401 && x403 < -10 && x403 + -2 * x402 = -5 && x330 + -3 * x404 + -1 * x405 = 0 && x331 + -1 * x406 = 0 && x330 + x331 >= 4 && x331 < -10 && x332 < -10 && x332 + -2 * x331 = -5 && x404 + x405 >= 4 && x405 < -10 && x404 > 6 && x406 < -10 && x406 + -2 * x405 = -5 && x332 + -1 * x407 = 0 && 3 * x330 + x331 + -3 * x408 + -1 * x409 = 0 && 4 <= 3 * x330 + x331 + x332 && 7 <= 3 * x330 + x331 && x333 < -10 && x333 + -2 * x332 = -5 && x408 + x409 >= 4 && x409 < -10 && x408 > 6 && x407 + -2 * x409 = -5 && x407 < -10 && x331 + -1 * x403 = 0 && -211 >= -1 * x330 && x330 + -9 * x400 + -3 * x401 + -1 * x402 = 0 && x331 + -1 * x389 = 0 && x330 + -81 * x384 + -27 * x385 + -9 * x386 + -3 * x387 + -1 * x388 = 0)) && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 + x356 >= 4 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 >= 7 && x357 < -10 && x357 + -2 * x356 = -5 && 4 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 + x357 && 7 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 && x348 < -10 && x348 + -2 * x357 = -5 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 + x354 >= 4 && x355 < -10 && x355 + -2 * x354 = -5 && 4 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 + x355 && 7 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 && x356 < -10 && x356 + -2 * x355 = -5 && -81 * x349 + -27 * x350 + -9 * x351 + -3 * x352 + -1 * x353 <= -211 && 9 * x349 + 3 * x350 + x351 + x352 >= 4 && 9 * x349 + 3 * x350 + x351 >= 7 && x353 < -10 && x353 + -2 * x352 = -5 && 4 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 + x353 && 7 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 && x354 < -10 && x354 + -2 * x353 = -5 && x349 + x350 >= 4 && x350 < -10 && x351 < -10 && x351 + -2 * x350 = -5 && 4 <= 3 * x349 + x350 + x351 && 7 <= 3 * x349 + x350 && x352 < -10 && x352 + -2 * x351 = -5 && -211 >= -1 * x349 && (x339 = x410 && (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 = 6561 * x411 + 2187 * x412 + 729 * x413 + 243 * x414 + 81 * x415 + 27 * x416 + 9 * x417 + 3 * x418 + x419 && (9 * x420 + 3 * x421 + x422 >= 7 && 9 * x420 + 3 * x421 + x422 + x423 >= 4 && x424 < -10 && x424 + -2 * x423 = -5 && 4 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 + x424 && 7 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 && x425 < -10 && x425 + -2 * x424 = -5 && x420 + x421 >= 4 && x421 < -10 && x422 < -10 && x422 + -2 * x421 = -5 && 4 <= 3 * x420 + x421 + x422 && 7 <= 3 * x420 + x421 && x423 < -10 && x423 + -2 * x422 = -5 && -211 >= -1 * x420 && x426 < -10 && x427 + x426 >= 4 && x427 > 6 && x428 < -10 && x428 + -2 * x426 = -5 && 4 <= 3 * x427 + x426 + x428 && 7 <= 3 * x427 + x426 && x429 < -10 && x429 + -2 * x428 = -5 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -3 * x430 + -1 * x431 = 0 && x345 + -1 * x432 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + x345 >= 4 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 >= 7 && x346 < -10 && x346 + -2 * x345 = -5 && x430 + x431 >= 4 && x431 < -10 && x430 > 6 && x432 < -10 && x432 + -2 * x431 = -5 && x346 + -1 * x433 = 0 && 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + -3 * x434 + -1 * x435 = 0 && 4 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + x346 && 7 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 && x347 < -10 && x347 + -2 * x346 = -5 && x434 + x435 >= 4 && x435 < -10 && x434 > 6 && x433 + -2 * x435 = -5 && x433 < -10 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -9 * x427 + -3 * x426 + -1 * x428 = 0 && x345 + -1 * x429 = 0 && x436 + x437 >= 4 && x437 < -10 && x436 > 6 && x438 < -10 && x438 + -2 * x437 = -5 && 4 <= 3 * x436 + x437 + x438 && 7 <= 3 * x436 + x437 && x439 < -10 && x439 + -2 * x438 = -5 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -3 * x440 + -1 * x441 = 0 && x343 + -1 * x442 = 0 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + x343 >= 4 && x344 < -10 && x344 + -2 * x343 = -5 && x440 + x441 >= 4 && x441 < -10 && x440 > 6 && x442 < -10 && x442 + -2 * x441 = -5 && x344 + -1 * x443 = 0 && 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + -3 * x444 + -1 * x445 = 0 && 4 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + x344 && 7 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 && x345 < -10 && x345 + -2 * x344 = -5 && x444 + x445 >= 4 && x445 < -10 && x444 > 6 && x443 + -2 * x445 = -5 && x443 < -10 && x343 + -1 * x439 = 0 && -81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + -27 * x339 + -9 * x340 + -3 * x341 + -1 * x342 <= -211 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -9 * x436 + -3 * x437 + -1 * x438 = 0 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -81 * x420 + -27 * x421 + -9 * x422 + -3 * x423 + -1 * x424 = 0 && x343 + -1 * x425 = 0 && 9 * x446 + 3 * x447 + x448 + x449 >= 4 && 9 * x446 + 3 * x447 + x448 >= 7 && x450 < -10 && x450 + -2 * x449 = -5 && 4 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 + x450 && 7 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 && x451 < -10 && x451 + -2 * x450 = -5 && x446 + x447 >= 4 && x447 < -10 && x448 < -10 && x448 + -2 * x447 = -5 && 4 <= 3 * x446 + x447 + x448 && 7 <= 3 * x446 + x447 && x449 < -10 && x449 + -2 * x448 = -5 && -211 >= -1 * x446 && x452 < -10 && x453 + x452 >= 4 && x453 > 6 && x454 < -10 && x454 + -2 * x452 = -5 && 4 <= 3 * x453 + x452 + x454 && 7 <= 3 * x453 + x452 && x455 < -10 && x455 + -2 * x454 = -5 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -3 * x456 + -1 * x457 = 0 && x341 + -1 * x458 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + x341 >= 4 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 >= 7 && x342 < -10 && x342 + -2 * x341 = -5 && x456 + x457 >= 4 && x457 < -10 && x456 > 6 && x458 < -10 && x458 + -2 * x457 = -5 && x342 + -1 * x459 = 0 && 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + -3 * x460 + -1 * x461 = 0 && 4 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + x342 && 7 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 && x343 < -10 && x343 + -2 * x342 = -5 && x460 + x461 >= 4 && x461 < -10 && x460 > 6 && x459 + -2 * x461 = -5 && x459 < -10 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -9 * x453 + -3 * x452 + -1 * x454 = 0 && x341 + -1 * x455 = 0 && x462 + x463 >= 4 && x463 < -10 && x462 > 6 && x464 < -10 && x464 + -2 * x463 = -5 && 4 <= 3 * x462 + x463 + x464 && 7 <= 3 * x462 + x463 && x465 < -10 && x465 + -2 * x464 = -5 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -3 * x466 + -1 * x467 = 0 && x339 + -1 * x468 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + x339 >= 4 && x339 < -10 && x340 < -10 && x340 + -2 * x339 = -5 && x466 + x467 >= 4 && x467 < -10 && x466 > 6 && x468 < -10 && x468 + -2 * x467 = -5 && x340 + -1 * x469 = 0 && 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + -3 * x470 + -1 * x471 = 0 && 4 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + x340 && 7 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 && x341 < -10 && x341 + -2 * x340 = -5 && x470 + x471 >= 4 && x471 < -10 && x470 > 6 && x469 + -2 * x471 = -5 && x469 < -10 && x339 + -1 * x465 = 0 && -211 >= -1 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -9 * x462 + -3 * x463 + -1 * x464 = 0 && x339 + -1 * x451 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -81 * x446 + -27 * x447 + -9 * x448 + -3 * x449 + -1 * x450 = 0)) && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 + x418 >= 4 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 >= 7 && x419 < -10 && x419 + -2 * x418 = -5 && 4 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 + x419 && 7 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 && x410 < -10 && x410 + -2 * x419 = -5 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 + x416 >= 4 && x417 < -10 && x417 + -2 * x416 = -5 && 4 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 + x417 && 7 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 && x418 < -10 && x418 + -2 * x417 = -5 && -81 * x411 + -27 * x412 + -9 * x413 + -3 * x414 + -1 * x415 <= -211 && 9 * x411 + 3 * x412 + x413 + x414 >= 4 && 9 * x411 + 3 * x412 + x413 >= 7 && x415 < -10 && x415 + -2 * x414 = -5 && 4 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 + x415 && 7 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 && x416 < -10 && x416 + -2 * x415 = -5 && x411 + x412 >= 4 && x412 < -10 && x413 < -10 && x413 + -2 * x412 = -5 && 4 <= 3 * x411 + x412 + x413 && 7 <= 3 * x411 + x412 && x414 < -10 && x414 + -2 * x413 = -5 && -211 >= -1 * x411)

(56) Obligation:

Rules:
f_131(x472, x473) → f_131(43046721 * x472 + 14348907 * x473 + 4782969 * x474 + 1594323 * x475 + 531441 * x476 + 177147 * x477 + 59049 * x478 + 19683 * x479 + 6561 * x480 + 2187 * x481 + 729 * x482 + 243 * x483 + 81 * x484 + 27 * x485 + 9 * x486 + 3 * x487 + x488, x489) :|: TRUE && x473 + -1 * x490 = 0 && x472 + -6561 * x491 + -2187 * x492 + -729 * x493 + -243 * x494 + -81 * x495 + -27 * x496 + -9 * x497 + -3 * x498 + -1 * x499 = 0 && 9 * x500 + 3 * x501 + x502 >= 7 && 9 * x500 + 3 * x501 + x502 + x503 >= 4 && x504 <= -11 && x504 + -2 * x503 = -5 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 + -1 * x504 <= -4 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 <= -7 && x505 <= -11 && x505 + -2 * x504 = -5 && x500 + x501 >= 4 && x501 <= -11 && x502 <= -11 && x502 + -2 * x501 = -5 && -3 * x500 + -1 * x501 + -1 * x502 <= -4 && -3 * x500 + -1 * x501 <= -7 && x503 <= -11 && x503 + -2 * x502 = -5 && x500 >= 211 && x506 <= -11 && x507 + x506 >= 4 && x507 >= 7 && x508 <= -11 && x508 + -2 * x506 = -5 && -3 * x507 + -1 * x506 + -1 * x508 <= -4 && -3 * x507 + -1 * x506 <= -7 && x509 <= -11 && x509 + -2 * x508 = -5 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -3 * x510 + -1 * x511 = 0 && x479 + -1 * x512 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + x479 >= 4 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 >= 7 && x480 <= -11 && x480 + -2 * x479 = -5 && x510 + x511 >= 4 && x511 <= -11 && x510 >= 7 && x512 <= -11 && x512 + -2 * x511 = -5 && x480 + -1 * x513 = 0 && 2187 * x472 + 729 * x473 + 243 * x474 + 81 * x475 + 27 * x476 + 9 * x477 + 3 * x478 + x479 + -3 * x514 + -1 * x515 = 0 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 + -1 * x480 <= -4 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 <= -7 && x481 <= -11 && x481 + -2 * x480 = -5 && x514 + x515 >= 4 && x515 <= -11 && x514 >= 7 && x513 + -2 * x515 = -5 && x513 <= -11 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -9 * x507 + -3 * x506 + -1 * x508 = 0 && x479 + -1 * x509 = 0 && x516 + x517 >= 4 && x517 <= -11 && x516 >= 7 && x518 <= -11 && x518 + -2 * x517 = -5 && -3 * x516 + -1 * x517 + -1 * x518 <= -4 && -3 * x516 + -1 * x517 <= -7 && x519 <= -11 && x519 + -2 * x518 = -5 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -3 * x520 + -1 * x521 = 0 && x477 + -1 * x522 = 0 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + x477 >= 4 && x478 <= -11 && x478 + -2 * x477 = -5 && x520 + x521 >= 4 && x521 <= -11 && x520 >= 7 && x522 <= -11 && x522 + -2 * x521 = -5 && x478 + -1 * x523 = 0 && 243 * x472 + 81 * x473 + 27 * x474 + 9 * x475 + 3 * x476 + x477 + -3 * x524 + -1 * x525 = 0 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 + -1 * x478 <= -4 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 <= -7 && x479 <= -11 && x479 + -2 * x478 = -5 && x524 + x525 >= 4 && x525 <= -11 && x524 >= 7 && x523 + -2 * x525 = -5 && x523 <= -11 && x477 + -1 * x519 = 0 && -81 * x472 + -27 * x473 + -9 * x474 + -3 * x475 + -1 * x476 <= -211 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -9 * x516 + -3 * x517 + -1 * x518 = 0 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -81 * x500 + -27 * x501 + -9 * x502 + -3 * x503 + -1 * x504 = 0 && x477 + -1 * x505 = 0 && 9 * x526 + 3 * x527 + x528 + x529 >= 4 && 9 * x526 + 3 * x527 + x528 >= 7 && x530 <= -11 && x530 + -2 * x529 = -5 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 + -1 * x530 <= -4 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 <= -7 && x531 <= -11 && x531 + -2 * x530 = -5 && x526 + x527 >= 4 && x527 <= -11 && x528 <= -11 && x528 + -2 * x527 = -5 && -3 * x526 + -1 * x527 + -1 * x528 <= -4 && -3 * x526 + -1 * x527 <= -7 && x529 <= -11 && x529 + -2 * x528 = -5 && x526 >= 211 && x532 <= -11 && x533 + x532 >= 4 && x533 >= 7 && x534 <= -11 && x534 + -2 * x532 = -5 && -3 * x533 + -1 * x532 + -1 * x534 <= -4 && -3 * x533 + -1 * x532 <= -7 && x535 <= -11 && x535 + -2 * x534 = -5 && 9 * x472 + 3 * x473 + x474 + -3 * x536 + -1 * x537 = 0 && x475 + -1 * x538 = 0 && 9 * x472 + 3 * x473 + x474 + x475 >= 4 && 9 * x472 + 3 * x473 + x474 >= 7 && x476 <= -11 && x476 + -2 * x475 = -5 && x536 + x537 >= 4 && x537 <= -11 && x536 >= 7 && x538 <= -11 && x538 + -2 * x537 = -5 && x476 + -1 * x539 = 0 && 27 * x472 + 9 * x473 + 3 * x474 + x475 + -3 * x540 + -1 * x541 = 0 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 + -1 * x476 <= -4 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 <= -7 && x477 <= -11 && x477 + -2 * x476 = -5 && x540 + x541 >= 4 && x541 <= -11 && x540 >= 7 && x539 + -2 * x541 = -5 && x539 <= -11 && 9 * x472 + 3 * x473 + x474 + -9 * x533 + -3 * x532 + -1 * x534 = 0 && x475 + -1 * x535 = 0 && x542 + x543 >= 4 && x543 <= -11 && x542 >= 7 && x544 <= -11 && x544 + -2 * x543 = -5 && -3 * x542 + -1 * x543 + -1 * x544 <= -4 && -3 * x542 + -1 * x543 <= -7 && x545 <= -11 && x545 + -2 * x544 = -5 && x472 + -3 * x546 + -1 * x547 = 0 && x473 + -1 * x548 = 0 && x472 + x473 >= 4 && x473 <= -11 && x474 <= -11 && x474 + -2 * x473 = -5 && x546 + x547 >= 4 && x547 <= -11 && x546 >= 7 && x548 <= -11 && x548 + -2 * x547 = -5 && x474 + -1 * x549 = 0 && 3 * x472 + x473 + -3 * x550 + -1 * x551 = 0 && -3 * x472 + -1 * x473 + -1 * x474 <= -4 && -3 * x472 + -1 * x473 <= -7 && x475 <= -11 && x475 + -2 * x474 = -5 && x550 + x551 >= 4 && x551 <= -11 && x550 >= 7 && x549 + -2 * x551 = -5 && x549 <= -11 && x473 + -1 * x545 = 0 && x472 >= 211 && x472 + -9 * x542 + -3 * x543 + -1 * x544 = 0 && x473 + -1 * x531 = 0 && x472 + -81 * x526 + -27 * x527 + -9 * x528 + -3 * x529 + -1 * x530 = 0 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 + x498 >= 4 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 >= 7 && x499 <= -11 && x499 + -2 * x498 = -5 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 + -1 * x499 <= -4 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 <= -7 && x490 <= -11 && x490 + -2 * x499 = -5 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 + x496 >= 4 && x497 <= -11 && x497 + -2 * x496 = -5 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 + -1 * x497 <= -4 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 <= -7 && x498 <= -11 && x498 + -2 * x497 = -5 && -81 * x491 + -27 * x492 + -9 * x493 + -3 * x494 + -1 * x495 <= -211 && 9 * x491 + 3 * x492 + x493 + x494 >= 4 && 9 * x491 + 3 * x492 + x493 >= 7 && x495 <= -11 && x495 + -2 * x494 = -5 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 + -1 * x495 <= -4 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 <= -7 && x496 <= -11 && x496 + -2 * x495 = -5 && x491 + x492 >= 4 && x492 <= -11 && x493 <= -11 && x493 + -2 * x492 = -5 && -3 * x491 + -1 * x492 + -1 * x493 <= -4 && -3 * x491 + -1 * x492 <= -7 && x494 <= -11 && x494 + -2 * x493 = -5 && x491 >= 211 && x481 + -1 * x552 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -6561 * x553 + -2187 * x554 + -729 * x555 + -243 * x556 + -81 * x557 + -27 * x558 + -9 * x559 + -3 * x560 + -1 * x561 = 0 && 9 * x562 + 3 * x563 + x564 >= 7 && 9 * x562 + 3 * x563 + x564 + x565 >= 4 && x566 <= -11 && x566 + -2 * x565 = -5 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 + -1 * x566 <= -4 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 <= -7 && x567 <= -11 && x567 + -2 * x566 = -5 && x562 + x563 >= 4 && x563 <= -11 && x564 <= -11 && x564 + -2 * x563 = -5 && -3 * x562 + -1 * x563 + -1 * x564 <= -4 && -3 * x562 + -1 * x563 <= -7 && x565 <= -11 && x565 + -2 * x564 = -5 && x562 >= 211 && x568 <= -11 && x569 + x568 >= 4 && x569 >= 7 && x570 <= -11 && x570 + -2 * x568 = -5 && -3 * x569 + -1 * x568 + -1 * x570 <= -4 && -3 * x569 + -1 * x568 <= -7 && x571 <= -11 && x571 + -2 * x570 = -5 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -3 * x572 + -1 * x573 = 0 && x487 + -1 * x574 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + x487 >= 4 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 >= 7 && x488 <= -11 && x488 + -2 * x487 = -5 && x572 + x573 >= 4 && x573 <= -11 && x572 >= 7 && x574 <= -11 && x574 + -2 * x573 = -5 && x488 + -1 * x575 = 0 && 14348907 * x472 + 4782969 * x473 + 1594323 * x474 + 531441 * x475 + 177147 * x476 + 59049 * x477 + 19683 * x478 + 6561 * x479 + 2187 * x480 + 729 * x481 + 243 * x482 + 81 * x483 + 27 * x484 + 9 * x485 + 3 * x486 + x487 + -3 * x576 + -1 * x577 = 0 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 + -1 * x488 <= -4 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 <= -7 && x489 <= -11 && x489 + -2 * x488 = -5 && x576 + x577 >= 4 && x577 <= -11 && x576 >= 7 && x575 + -2 * x577 = -5 && x575 <= -11 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -9 * x569 + -3 * x568 + -1 * x570 = 0 && x487 + -1 * x571 = 0 && x578 + x579 >= 4 && x579 <= -11 && x578 >= 7 && x580 <= -11 && x580 + -2 * x579 = -5 && -3 * x578 + -1 * x579 + -1 * x580 <= -4 && -3 * x578 + -1 * x579 <= -7 && x581 <= -11 && x581 + -2 * x580 = -5 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -3 * x582 + -1 * x583 = 0 && x485 + -1 * x584 = 0 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + x485 >= 4 && x486 <= -11 && x486 + -2 * x485 = -5 && x582 + x583 >= 4 && x583 <= -11 && x582 >= 7 && x584 <= -11 && x584 + -2 * x583 = -5 && x486 + -1 * x585 = 0 && 1594323 * x472 + 531441 * x473 + 177147 * x474 + 59049 * x475 + 19683 * x476 + 6561 * x477 + 2187 * x478 + 729 * x479 + 243 * x480 + 81 * x481 + 27 * x482 + 9 * x483 + 3 * x484 + x485 + -3 * x586 + -1 * x587 = 0 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 + -1 * x486 <= -4 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 <= -7 && x487 <= -11 && x487 + -2 * x486 = -5 && x586 + x587 >= 4 && x587 <= -11 && x586 >= 7 && x585 + -2 * x587 = -5 && x585 <= -11 && x485 + -1 * x581 = 0 && -531441 * x472 + -177147 * x473 + -59049 * x474 + -19683 * x475 + -6561 * x476 + -2187 * x477 + -729 * x478 + -243 * x479 + -81 * x480 + -27 * x481 + -9 * x482 + -3 * x483 + -1 * x484 <= -211 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -9 * x578 + -3 * x579 + -1 * x580 = 0 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -81 * x562 + -27 * x563 + -9 * x564 + -3 * x565 + -1 * x566 = 0 && x485 + -1 * x567 = 0 && 9 * x588 + 3 * x589 + x590 + x591 >= 4 && 9 * x588 + 3 * x589 + x590 >= 7 && x592 <= -11 && x592 + -2 * x591 = -5 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 + -1 * x592 <= -4 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 <= -7 && x593 <= -11 && x593 + -2 * x592 = -5 && x588 + x589 >= 4 && x589 <= -11 && x590 <= -11 && x590 + -2 * x589 = -5 && -3 * x588 + -1 * x589 + -1 * x590 <= -4 && -3 * x588 + -1 * x589 <= -7 && x591 <= -11 && x591 + -2 * x590 = -5 && x588 >= 211 && x594 <= -11 && x595 + x594 >= 4 && x595 >= 7 && x596 <= -11 && x596 + -2 * x594 = -5 && -3 * x595 + -1 * x594 + -1 * x596 <= -4 && -3 * x595 + -1 * x594 <= -7 && x597 <= -11 && x597 + -2 * x596 = -5 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -3 * x598 + -1 * x599 = 0 && x483 + -1 * x600 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + x483 >= 4 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 >= 7 && x484 <= -11 && x484 + -2 * x483 = -5 && x598 + x599 >= 4 && x599 <= -11 && x598 >= 7 && x600 <= -11 && x600 + -2 * x599 = -5 && x484 + -1 * x601 = 0 && 177147 * x472 + 59049 * x473 + 19683 * x474 + 6561 * x475 + 2187 * x476 + 729 * x477 + 243 * x478 + 81 * x479 + 27 * x480 + 9 * x481 + 3 * x482 + x483 + -3 * x602 + -1 * x603 = 0 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 + -1 * x484 <= -4 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 <= -7 && x485 <= -11 && x485 + -2 * x484 = -5 && x602 + x603 >= 4 && x603 <= -11 && x602 >= 7 && x601 + -2 * x603 = -5 && x601 <= -11 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -9 * x595 + -3 * x594 + -1 * x596 = 0 && x483 + -1 * x597 = 0 && x604 + x605 >= 4 && x605 <= -11 && x604 >= 7 && x606 <= -11 && x606 + -2 * x605 = -5 && -3 * x604 + -1 * x605 + -1 * x606 <= -4 && -3 * x604 + -1 * x605 <= -7 && x607 <= -11 && x607 + -2 * x606 = -5 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -3 * x608 + -1 * x609 = 0 && x481 + -1 * x610 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + x481 >= 4 && x482 <= -11 && x482 + -2 * x481 = -5 && x608 + x609 >= 4 && x609 <= -11 && x608 >= 7 && x610 <= -11 && x610 + -2 * x609 = -5 && x482 + -1 * x611 = 0 && 19683 * x472 + 6561 * x473 + 2187 * x474 + 729 * x475 + 243 * x476 + 81 * x477 + 27 * x478 + 9 * x479 + 3 * x480 + x481 + -3 * x612 + -1 * x613 = 0 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 + -1 * x482 <= -4 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 <= -7 && x483 <= -11 && x483 + -2 * x482 = -5 && x612 + x613 >= 4 && x613 <= -11 && x612 >= 7 && x611 + -2 * x613 = -5 && x611 <= -11 && x481 + -1 * x607 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 >= 211 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -9 * x604 + -3 * x605 + -1 * x606 = 0 && x481 + -1 * x593 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -81 * x588 + -27 * x589 + -9 * x590 + -3 * x591 + -1 * x592 = 0 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 + x560 >= 4 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 >= 7 && x561 <= -11 && x561 + -2 * x560 = -5 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 + -1 * x561 <= -4 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 <= -7 && x552 <= -11 && x552 + -2 * x561 = -5 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 + x558 >= 4 && x559 <= -11 && x559 + -2 * x558 = -5 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 + -1 * x559 <= -4 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 <= -7 && x560 <= -11 && x560 + -2 * x559 = -5 && -81 * x553 + -27 * x554 + -9 * x555 + -3 * x556 + -1 * x557 <= -211 && 9 * x553 + 3 * x554 + x555 + x556 >= 4 && 9 * x553 + 3 * x554 + x555 >= 7 && x557 <= -11 && x557 + -2 * x556 = -5 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 + -1 * x557 <= -4 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 <= -7 && x558 <= -11 && x558 + -2 * x557 = -5 && x553 + x554 >= 4 && x554 <= -11 && x555 <= -11 && x555 + -2 * x554 = -5 && -3 * x553 + -1 * x554 + -1 * x555 <= -4 && -3 * x553 + -1 * x554 <= -7 && x556 <= -11 && x556 + -2 * x555 = -5 && x553 >= 211

(57) Obligation:

Rules:
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0 && -633 + 3 * x84:0 < 0

(58) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained no non-trivial SCC(s).

(59) YES

(60) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0
has been transformed into
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && 9 * x52 + 3 * x53 + x54 >= 7 && x56 < -10 && x56 + -2 * x55 = -5 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && x57 < -10 && x57 + -2 * x56 = -5 && x52 + x53 >= 4 && x53 < -10 && x52 > 6 && x54 < -10 && x54 + -2 * x53 = -5 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 && -7 >= -3 * x52 + -1 * x53 && x55 < -10 && x55 + -2 * x54 = -5.


f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && 9 * x52 + 3 * x53 + x54 >= 7 && x56 < -10 && x56 + -2 * x55 = -5 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && x57 < -10 && x57 + -2 * x56 = -5 && x52 + x53 >= 4 && x53 < -10 && x52 > 6 && x54 < -10 && x54 + -2 * x53 = -5 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 && -7 >= -3 * x52 + -1 * x53 && x55 < -10 && x55 + -2 * x54 = -5 and
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x102:0 < -10 && x101:0 + x102:0 >= 4 && x101:0 > 6 && x103:0 < -10 && x103:0 + -2 * x102:0 = -5 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && -7 >= -3 * x101:0 + -1 * x102:0 && x100:0 < -10 && x100:0 + -2 * x103:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x109:0 + -1 * x108:0 = 0 && x87:0 + -1 * x107:0 = 0 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && x88:0 < -10 && x88:0 + -2 * x87:0 = -5 && x109:0 + x108:0 >= 4 && x108:0 < -10 && x109:0 > 6 && x107:0 < -10 && x107:0 + -2 * x108:0 = -5 && x88:0 + -1 * x104:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x106:0 + -1 * x105:0 = 0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && x89:0 < -10 && x89:0 + -2 * x88:0 = -5 && x106:0 + x105:0 >= 4 && x105:0 < -10 && x106:0 > 6 && x104:0 + -2 * x105:0 = -5 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x91:0 + x92:0 >= 4 && x92:0 < -10 && x91:0 > 6 && x93:0 < -10 && x93:0 + -2 * x92:0 = -5 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && -7 >= -3 * x91:0 + -1 * x92:0 && x90:0 < -10 && x90:0 + -2 * x93:0 = -5 && x84:0 + -3 * x99:0 + -1 * x98:0 = 0 && x85:0 + -1 * x97:0 = 0 && x84:0 + x85:0 >= 4 && x85:0 < -10 && x84:0 > 6 && x86:0 < -10 && x86:0 + -2 * x85:0 = -5 && x99:0 + x98:0 >= 4 && x98:0 < -10 && x99:0 > 6 && x97:0 < -10 && x97:0 + -2 * x98:0 = -5 && x86:0 + -1 * x94:0 = 0 && 3 * x84:0 + x85:0 + -3 * x96:0 + -1 * x95:0 = 0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && -7 >= -3 * x84:0 + -1 * x85:0 && x87:0 < -10 && x87:0 + -2 * x86:0 = -5 && x96:0 + x95:0 >= 4 && x95:0 < -10 && x96:0 > 6 && x94:0 + -2 * x95:0 = -5 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && 9 * x52 + 3 * x53 + x54 >= 7 && x56 < -10 && x56 + -2 * x55 = -5 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && x57 < -10 && x57 + -2 * x56 = -5 && x52 + x53 >= 4 && x53 < -10 && x52 > 6 && x54 < -10 && x54 + -2 * x53 = -5 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 && -7 >= -3 * x52 + -1 * x53 && x55 < -10 && x55 + -2 * x54 = -5
have been merged into the new rule
f_131(x142, x143) → f_131(81 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 27 * x147 + 9 * x148 + 3 * x149 + x150, x151) :|: x143 = x152 && (x142 = 81 * x153 + 27 * x154 + 9 * x155 + 3 * x156 + x157 && (x158 < -10 && x159 + x158 >= 4 && x159 > 6 && x160 < -10 && x160 + -2 * x158 = -5 && -4 >= -3 * x159 + -1 * x158 + -1 * x160 && -7 >= -3 * x159 + -1 * x158 && x161 < -10 && x161 + -2 * x160 = -5 && 9 * x142 + 3 * x143 + x144 + -3 * x162 + -1 * x163 = 0 && x145 + -1 * x164 = 0 && 9 * x142 + 3 * x143 + x144 + x145 >= 4 && 9 * x142 + 3 * x143 + x144 >= 7 && x146 < -10 && x146 + -2 * x145 = -5 && x162 + x163 >= 4 && x163 < -10 && x162 > 6 && x164 < -10 && x164 + -2 * x163 = -5 && x146 + -1 * x165 = 0 && 27 * x142 + 9 * x143 + 3 * x144 + x145 + -3 * x166 + -1 * x167 = 0 && -4 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 + -1 * x146 && -7 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 && x147 < -10 && x147 + -2 * x146 = -5 && x166 + x167 >= 4 && x167 < -10 && x166 > 6 && x165 + -2 * x167 = -5 && x165 < -10 && 9 * x142 + 3 * x143 + x144 + -9 * x159 + -3 * x158 + -1 * x160 = 0 && x145 + -1 * x161 = 0 && x168 + x169 >= 4 && x169 < -10 && x168 > 6 && x170 < -10 && x170 + -2 * x169 = -5 && -4 >= -3 * x168 + -1 * x169 + -1 * x170 && -7 >= -3 * x168 + -1 * x169 && x171 < -10 && x171 + -2 * x170 = -5 && x142 + -3 * x172 + -1 * x173 = 0 && x143 + -1 * x174 = 0 && x142 + x143 >= 4 && x143 < -10 && x142 > 6 && x144 < -10 && x144 + -2 * x143 = -5 && x172 + x173 >= 4 && x173 < -10 && x172 > 6 && x174 < -10 && x174 + -2 * x173 = -5 && x144 + -1 * x175 = 0 && 3 * x142 + x143 + -3 * x176 + -1 * x177 = 0 && -4 >= -3 * x142 + -1 * x143 + -1 * x144 && -7 >= -3 * x142 + -1 * x143 && x145 < -10 && x145 + -2 * x144 = -5 && x176 + x177 >= 4 && x177 < -10 && x176 > 6 && x175 + -2 * x177 = -5 && x175 < -10 && x143 + -1 * x171 = 0 && x142 + -9 * x168 + -3 * x169 + -1 * x170 = 0)) && 9 * x153 + 3 * x154 + x155 + x156 >= 4 && 9 * x153 + 3 * x154 + x155 >= 7 && x157 < -10 && x157 + -2 * x156 = -5 && -4 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 + -1 * x157 && -7 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 && x152 < -10 && x152 + -2 * x157 = -5 && x153 + x154 >= 4 && x154 < -10 && x153 > 6 && x155 < -10 && x155 + -2 * x154 = -5 && -4 >= -3 * x153 + -1 * x154 + -1 * x155 && -7 >= -3 * x153 + -1 * x154 && x156 < -10 && x156 + -2 * x155 = -5 && (x147 = x178 && (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 = 81 * x179 + 27 * x180 + 9 * x181 + 3 * x182 + x183 && (x184 < -10 && x185 + x184 >= 4 && x185 > 6 && x186 < -10 && x186 + -2 * x184 = -5 && -4 >= -3 * x185 + -1 * x184 + -1 * x186 && -7 >= -3 * x185 + -1 * x184 && x187 < -10 && x187 + -2 * x186 = -5 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -3 * x188 + -1 * x189 = 0 && x149 + -1 * x190 = 0 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + x149 >= 4 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 >= 7 && x150 < -10 && x150 + -2 * x149 = -5 && x188 + x189 >= 4 && x189 < -10 && x188 > 6 && x190 < -10 && x190 + -2 * x189 = -5 && x150 + -1 * x191 = 0 && 27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 9 * x147 + 3 * x148 + x149 + -3 * x192 + -1 * x193 = 0 && -4 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 + -1 * x150 && -7 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 && x151 < -10 && x151 + -2 * x150 = -5 && x192 + x193 >= 4 && x193 < -10 && x192 > 6 && x191 + -2 * x193 = -5 && x191 < -10 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -9 * x185 + -3 * x184 + -1 * x186 = 0 && x149 + -1 * x187 = 0 && x194 + x195 >= 4 && x195 < -10 && x194 > 6 && x196 < -10 && x196 + -2 * x195 = -5 && -4 >= -3 * x194 + -1 * x195 + -1 * x196 && -7 >= -3 * x194 + -1 * x195 && x197 < -10 && x197 + -2 * x196 = -5 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -3 * x198 + -1 * x199 = 0 && x147 + -1 * x200 = 0 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + x147 >= 4 && x147 < -10 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 > 6 && x148 < -10 && x148 + -2 * x147 = -5 && x198 + x199 >= 4 && x199 < -10 && x198 > 6 && x200 < -10 && x200 + -2 * x199 = -5 && x148 + -1 * x201 = 0 && 3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + x147 + -3 * x202 + -1 * x203 = 0 && -4 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 + -1 * x148 && -7 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 && x149 < -10 && x149 + -2 * x148 = -5 && x202 + x203 >= 4 && x203 < -10 && x202 > 6 && x201 + -2 * x203 = -5 && x201 < -10 && x147 + -1 * x197 = 0 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -9 * x194 + -3 * x195 + -1 * x196 = 0)) && 9 * x179 + 3 * x180 + x181 + x182 >= 4 && 9 * x179 + 3 * x180 + x181 >= 7 && x183 < -10 && x183 + -2 * x182 = -5 && -4 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 + -1 * x183 && -7 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 && x178 < -10 && x178 + -2 * x183 = -5 && x179 + x180 >= 4 && x180 < -10 && x179 > 6 && x181 < -10 && x181 + -2 * x180 = -5 && -4 >= -3 * x179 + -1 * x180 + -1 * x181 && -7 >= -3 * x179 + -1 * x180 && x182 < -10 && x182 + -2 * x181 = -5)

(61) Obligation:

Rules:
f_131(x204, x205) → f_131(6561 * x204 + 2187 * x205 + 729 * x206 + 243 * x207 + 81 * x208 + 27 * x209 + 9 * x210 + 3 * x211 + x212, x213) :|: TRUE && x205 + -1 * x214 = 0 && x204 + -81 * x215 + -27 * x216 + -9 * x217 + -3 * x218 + -1 * x219 = 0 && x220 <= -11 && x221 + x220 >= 4 && x221 >= 7 && x222 <= -11 && x222 + -2 * x220 = -5 && 3 * x221 + x220 + x222 >= 4 && 3 * x221 + x220 >= 7 && x223 <= -11 && x223 + -2 * x222 = -5 && 9 * x204 + 3 * x205 + x206 + -3 * x224 + -1 * x225 = 0 && x207 + -1 * x226 = 0 && 9 * x204 + 3 * x205 + x206 + x207 >= 4 && 9 * x204 + 3 * x205 + x206 >= 7 && x208 <= -11 && x208 + -2 * x207 = -5 && x224 + x225 >= 4 && x225 <= -11 && x224 >= 7 && x226 <= -11 && x226 + -2 * x225 = -5 && x208 + -1 * x227 = 0 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + -3 * x228 + -1 * x229 = 0 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + x208 >= 4 && 27 * x204 + 9 * x205 + 3 * x206 + x207 >= 7 && x209 <= -11 && x209 + -2 * x208 = -5 && x228 + x229 >= 4 && x229 <= -11 && x228 >= 7 && x227 + -2 * x229 = -5 && x227 <= -11 && 9 * x204 + 3 * x205 + x206 + -9 * x221 + -3 * x220 + -1 * x222 = 0 && x207 + -1 * x223 = 0 && x230 + x231 >= 4 && x231 <= -11 && x230 >= 7 && x232 <= -11 && x232 + -2 * x231 = -5 && 3 * x230 + x231 + x232 >= 4 && 3 * x230 + x231 >= 7 && x233 <= -11 && x233 + -2 * x232 = -5 && x204 + -3 * x234 + -1 * x235 = 0 && x205 + -1 * x236 = 0 && x204 + x205 >= 4 && x205 <= -11 && x204 >= 7 && x206 <= -11 && x206 + -2 * x205 = -5 && x234 + x235 >= 4 && x235 <= -11 && x234 >= 7 && x236 <= -11 && x236 + -2 * x235 = -5 && x206 + -1 * x237 = 0 && 3 * x204 + x205 + -3 * x238 + -1 * x239 = 0 && 3 * x204 + x205 + x206 >= 4 && 3 * x204 + x205 >= 7 && x207 <= -11 && x207 + -2 * x206 = -5 && x238 + x239 >= 4 && x239 <= -11 && x238 >= 7 && x237 + -2 * x239 = -5 && x237 <= -11 && x205 + -1 * x233 = 0 && x204 + -9 * x230 + -3 * x231 + -1 * x232 = 0 && 9 * x215 + 3 * x216 + x217 + x218 >= 4 && 9 * x215 + 3 * x216 + x217 >= 7 && x219 <= -11 && x219 + -2 * x218 = -5 && 27 * x215 + 9 * x216 + 3 * x217 + x218 + x219 >= 4 && 27 * x215 + 9 * x216 + 3 * x217 + x218 >= 7 && x214 <= -11 && x214 + -2 * x219 = -5 && x215 + x216 >= 4 && x216 <= -11 && x215 >= 7 && x217 <= -11 && x217 + -2 * x216 = -5 && 3 * x215 + x216 + x217 >= 4 && 3 * x215 + x216 >= 7 && x218 <= -11 && x218 + -2 * x217 = -5 && x209 + -1 * x240 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -81 * x241 + -27 * x242 + -9 * x243 + -3 * x244 + -1 * x245 = 0 && x246 <= -11 && x247 + x246 >= 4 && x247 >= 7 && x248 <= -11 && x248 + -2 * x246 = -5 && 3 * x247 + x246 + x248 >= 4 && 3 * x247 + x246 >= 7 && x249 <= -11 && x249 + -2 * x248 = -5 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -3 * x250 + -1 * x251 = 0 && x211 + -1 * x252 = 0 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + x211 >= 4 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 >= 7 && x212 <= -11 && x212 + -2 * x211 = -5 && x250 + x251 >= 4 && x251 <= -11 && x250 >= 7 && x252 <= -11 && x252 + -2 * x251 = -5 && x212 + -1 * x253 = 0 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + -3 * x254 + -1 * x255 = 0 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + x212 >= 4 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 >= 7 && x213 <= -11 && x213 + -2 * x212 = -5 && x254 + x255 >= 4 && x255 <= -11 && x254 >= 7 && x253 + -2 * x255 = -5 && x253 <= -11 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -9 * x247 + -3 * x246 + -1 * x248 = 0 && x211 + -1 * x249 = 0 && x256 + x257 >= 4 && x257 <= -11 && x256 >= 7 && x258 <= -11 && x258 + -2 * x257 = -5 && 3 * x256 + x257 + x258 >= 4 && 3 * x256 + x257 >= 7 && x259 <= -11 && x259 + -2 * x258 = -5 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -3 * x260 + -1 * x261 = 0 && x209 + -1 * x262 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + x209 >= 4 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 >= 7 && x210 <= -11 && x210 + -2 * x209 = -5 && x260 + x261 >= 4 && x261 <= -11 && x260 >= 7 && x262 <= -11 && x262 + -2 * x261 = -5 && x210 + -1 * x263 = 0 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + -3 * x264 + -1 * x265 = 0 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + x210 >= 4 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 >= 7 && x211 <= -11 && x211 + -2 * x210 = -5 && x264 + x265 >= 4 && x265 <= -11 && x264 >= 7 && x263 + -2 * x265 = -5 && x263 <= -11 && x209 + -1 * x259 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -9 * x256 + -3 * x257 + -1 * x258 = 0 && 9 * x241 + 3 * x242 + x243 + x244 >= 4 && 9 * x241 + 3 * x242 + x243 >= 7 && x245 <= -11 && x245 + -2 * x244 = -5 && 27 * x241 + 9 * x242 + 3 * x243 + x244 + x245 >= 4 && 27 * x241 + 9 * x242 + 3 * x243 + x244 >= 7 && x240 <= -11 && x240 + -2 * x245 = -5 && x241 + x242 >= 4 && x242 <= -11 && x241 >= 7 && x243 <= -11 && x243 + -2 * x242 = -5 && 3 * x241 + x242 + x243 >= 4 && 3 * x241 + x242 >= 7 && x244 <= -11 && x244 + -2 * x243 = -5

(62) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(63) Obligation:

Rules:
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0

(64) CaseAnalysis (EQUIVALENT transformation)

Found the following inductive condition:
f_131(x, x1): -6826 + x≥0

(65) Complex Obligation (AND)

(66) Obligation:

Rules:
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0 && -6826 + x204:0 >= 0

(67) Obligation:

Rules:
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0 && -6826 + x204:0 < 0

(68) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained no non-trivial SCC(s).

(69) YES

(70) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0
has been transformed into
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && x131 + -2 * x130 = -5 && x131 < -10 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && x130 + -2 * x129 = -5 && x130 < -10 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && x133 + -2 * x132 = -5 && x133 < -10 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && x132 + -2 * x131 = -5 && x132 < -10 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && x127 + -2 * x126 = -5 && x127 < -10 && 7 <= 3 * x124 + x125 && 4 <= 3 * x124 + x125 + x126 && x126 + -2 * x125 = -5 && x126 < -10 && x124 > 6 && x125 < -10 && x124 + x125 >= 4 && x129 + -2 * x128 = -5 && x129 < -10 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && x128 + -2 * x127 = -5 && x128 < -10 && 9 * x124 + 3 * x125 + x126 >= 7 && 9 * x124 + 3 * x125 + x126 + x127 >= 4.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && x131 + -2 * x130 = -5 && x131 < -10 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && x130 + -2 * x129 = -5 && x130 < -10 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && x133 + -2 * x132 = -5 && x133 < -10 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && x132 + -2 * x131 = -5 && x132 < -10 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && x127 + -2 * x126 = -5 && x127 < -10 && 7 <= 3 * x124 + x125 && 4 <= 3 * x124 + x125 + x126 && x126 + -2 * x125 = -5 && x126 < -10 && x124 > 6 && x125 < -10 && x124 + x125 >= 4 && x129 + -2 * x128 = -5 && x129 < -10 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && x128 + -2 * x127 = -5 && x128 < -10 && 9 * x124 + 3 * x125 + x126 >= 7 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 and
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (x244:0 < -10 && x244:0 + -2 * x243:0 = -5 && 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x243:0 + -2 * x242:0 = -5 && x243:0 < -10 && x241:0 > 6 && x242:0 < -10 && x241:0 + x242:0 >= 4 && x240:0 + -2 * x245:0 = -5 && x240:0 < -10 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && x245:0 + -2 * x244:0 = -5 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x256:0 + -3 * x257:0 + -1 * x258:0 = 0 && x209:0 + -1 * x259:0 = 0 && x263:0 < -10 && x263:0 + -2 * x265:0 = -5 && x264:0 > 6 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x211:0 + -2 * x210:0 = -5 && x211:0 < -10 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x262:0 + -2 * x261:0 = -5 && x262:0 < -10 && x260:0 > 6 && x261:0 < -10 && x260:0 + x261:0 >= 4 && x210:0 + -2 * x209:0 = -5 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && x259:0 + -2 * x258:0 = -5 && x259:0 < -10 && 7 <= 3 * x256:0 + x257:0 && 4 <= 3 * x256:0 + x257:0 + x258:0 && x258:0 + -2 * x257:0 = -5 && x258:0 < -10 && x256:0 > 6 && x257:0 < -10 && x256:0 + x257:0 >= 4 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x247:0 + -3 * x246:0 + -1 * x248:0 = 0 && x253:0 < -10 && x253:0 + -2 * x255:0 = -5 && x254:0 > 6 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x213:0 + -2 * x212:0 = -5 && x213:0 < -10 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x252:0 + -2 * x251:0 = -5 && x252:0 < -10 && x250:0 > 6 && x251:0 < -10 && x250:0 + x251:0 >= 4 && x212:0 + -2 * x211:0 = -5 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && x249:0 + -2 * x248:0 = -5 && x249:0 < -10 && 7 <= 3 * x247:0 + x246:0 && 4 <= 3 * x247:0 + x246:0 + x248:0 && x248:0 + -2 * x246:0 = -5 && x248:0 < -10 && x247:0 > 6 && x247:0 + x246:0 >= 4 && x246:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && x218:0 + -2 * x217:0 = -5 && x218:0 < -10 && 7 <= 3 * x215:0 + x216:0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && x217:0 + -2 * x216:0 = -5 && x217:0 < -10 && x215:0 > 6 && x216:0 < -10 && x215:0 + x216:0 >= 4 && x214:0 + -2 * x219:0 = -5 && x214:0 < -10 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && x219:0 + -2 * x218:0 = -5 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && x204:0 + -9 * x230:0 + -3 * x231:0 + -1 * x232:0 = 0 && x205:0 + -1 * x233:0 = 0 && x237:0 < -10 && x237:0 + -2 * x239:0 = -5 && x238:0 > 6 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x207:0 + -2 * x206:0 = -5 && x207:0 < -10 && 7 <= 3 * x204:0 + x205:0 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x236:0 + -2 * x235:0 = -5 && x236:0 < -10 && x234:0 > 6 && x235:0 < -10 && x234:0 + x235:0 >= 4 && x206:0 + -2 * x205:0 = -5 && x206:0 < -10 && x204:0 > 6 && x205:0 < -10 && x204:0 + x205:0 >= 4 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && x233:0 + -2 * x232:0 = -5 && x233:0 < -10 && 7 <= 3 * x230:0 + x231:0 && 4 <= 3 * x230:0 + x231:0 + x232:0 && x232:0 + -2 * x231:0 = -5 && x232:0 < -10 && x230:0 > 6 && x231:0 < -10 && x230:0 + x231:0 >= 4 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x221:0 + -3 * x220:0 + -1 * x222:0 = 0 && x227:0 < -10 && x227:0 + -2 * x229:0 = -5 && x228:0 > 6 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x209:0 + -2 * x208:0 = -5 && x209:0 < -10 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x226:0 + -2 * x225:0 = -5 && x226:0 < -10 && x224:0 > 6 && x225:0 < -10 && x224:0 + x225:0 >= 4 && x208:0 + -2 * x207:0 = -5 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && x223:0 + -2 * x222:0 = -5 && x223:0 < -10 && 7 <= 3 * x221:0 + x220:0 && 4 <= 3 * x221:0 + x220:0 + x222:0 && x222:0 + -2 * x220:0 = -5 && x222:0 < -10 && x221:0 > 6 && x221:0 + x220:0 >= 4 && x220:0 < -10 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && x131 + -2 * x130 = -5 && x131 < -10 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && x130 + -2 * x129 = -5 && x130 < -10 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && x133 + -2 * x132 = -5 && x133 < -10 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && x132 + -2 * x131 = -5 && x132 < -10 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && x127 + -2 * x126 = -5 && x127 < -10 && 7 <= 3 * x124 + x125 && 4 <= 3 * x124 + x125 + x126 && x126 + -2 * x125 = -5 && x126 < -10 && x124 > 6 && x125 < -10 && x124 + x125 >= 4 && x129 + -2 * x128 = -5 && x129 < -10 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && x128 + -2 * x127 = -5 && x128 < -10 && 9 * x124 + 3 * x125 + x126 >= 7 && 9 * x124 + 3 * x125 + x126 + x127 >= 4
have been merged into the new rule
f_131(x330, x331) → f_131(6561 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 2187 * x339 + 729 * x340 + 243 * x341 + 81 * x342 + 27 * x343 + 9 * x344 + 3 * x345 + x346, x347) :|: x331 = x348 && (x330 = 6561 * x349 + 2187 * x350 + 729 * x351 + 243 * x352 + 81 * x353 + 27 * x354 + 9 * x355 + 3 * x356 + x357 && (x358 < -10 && x358 + -2 * x359 = -5 && 7 <= 3 * x360 + x361 && 4 <= 3 * x360 + x361 + x359 && x359 + -2 * x361 = -5 && x359 < -10 && x360 > 6 && x361 < -10 && x360 + x361 >= 4 && x362 + -2 * x363 = -5 && x362 < -10 && 7 <= 27 * x360 + 9 * x361 + 3 * x359 + x358 && 4 <= 27 * x360 + 9 * x361 + 3 * x359 + x358 + x363 && x363 + -2 * x358 = -5 && x363 < -10 && 9 * x360 + 3 * x361 + x359 >= 7 && 9 * x360 + 3 * x361 + x359 + x358 >= 4 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -9 * x364 + -3 * x365 + -1 * x366 = 0 && x335 + -1 * x367 = 0 && x368 < -10 && x368 + -2 * x369 = -5 && x370 > 6 && x369 < -10 && x370 + x369 >= 4 && x337 + -2 * x336 = -5 && x337 < -10 && 7 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 && 4 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + x336 && 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + -3 * x370 + -1 * x369 = 0 && x336 + -1 * x368 = 0 && x371 + -2 * x372 = -5 && x371 < -10 && x373 > 6 && x372 < -10 && x373 + x372 >= 4 && x336 + -2 * x335 = -5 && x336 < -10 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 >= 7 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + x335 >= 4 && x335 + -1 * x371 = 0 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -3 * x373 + -1 * x372 = 0 && x367 + -2 * x366 = -5 && x367 < -10 && 7 <= 3 * x364 + x365 && 4 <= 3 * x364 + x365 + x366 && x366 + -2 * x365 = -5 && x366 < -10 && x364 > 6 && x365 < -10 && x364 + x365 >= 4 && x337 + -1 * x374 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -9 * x375 + -3 * x376 + -1 * x377 = 0 && x378 < -10 && x378 + -2 * x379 = -5 && x380 > 6 && x379 < -10 && x380 + x379 >= 4 && x339 + -2 * x338 = -5 && x339 < -10 && 7 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 && 4 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + x338 && 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + -3 * x380 + -1 * x379 = 0 && x338 + -1 * x378 = 0 && x381 + -2 * x382 = -5 && x381 < -10 && x383 > 6 && x382 < -10 && x383 + x382 >= 4 && x338 + -2 * x337 = -5 && x338 < -10 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 >= 7 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + x337 >= 4 && x337 + -1 * x381 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -3 * x383 + -1 * x382 = 0 && x374 + -2 * x377 = -5 && x374 < -10 && 7 <= 3 * x375 + x376 && 4 <= 3 * x375 + x376 + x377 && x377 + -2 * x376 = -5 && x377 < -10 && x375 > 6 && x375 + x376 >= 4 && x376 < -10 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -81 * x360 + -27 * x361 + -9 * x359 + -3 * x358 + -1 * x363 = 0 && x335 + -1 * x362 = 0 && x384 + -2 * x385 = -5 && x384 < -10 && 7 <= 3 * x386 + x387 && 4 <= 3 * x386 + x387 + x385 && x385 + -2 * x387 = -5 && x385 < -10 && x386 > 6 && x387 < -10 && x386 + x387 >= 4 && x388 + -2 * x389 = -5 && x388 < -10 && 7 <= 27 * x386 + 9 * x387 + 3 * x385 + x384 && 4 <= 27 * x386 + 9 * x387 + 3 * x385 + x384 + x389 && x389 + -2 * x384 = -5 && x389 < -10 && 9 * x386 + 3 * x387 + x385 >= 7 && 9 * x386 + 3 * x387 + x385 + x384 >= 4 && x330 + -9 * x390 + -3 * x391 + -1 * x392 = 0 && x331 + -1 * x393 = 0 && x394 < -10 && x394 + -2 * x395 = -5 && x396 > 6 && x395 < -10 && x396 + x395 >= 4 && x333 + -2 * x332 = -5 && x333 < -10 && 7 <= 3 * x330 + x331 && 4 <= 3 * x330 + x331 + x332 && 3 * x330 + x331 + -3 * x396 + -1 * x395 = 0 && x332 + -1 * x394 = 0 && x397 + -2 * x398 = -5 && x397 < -10 && x399 > 6 && x398 < -10 && x399 + x398 >= 4 && x332 + -2 * x331 = -5 && x332 < -10 && x330 > 6 && x331 < -10 && x330 + x331 >= 4 && x331 + -1 * x397 = 0 && x330 + -3 * x399 + -1 * x398 = 0 && x393 + -2 * x392 = -5 && x393 < -10 && 7 <= 3 * x390 + x391 && 4 <= 3 * x390 + x391 + x392 && x392 + -2 * x391 = -5 && x392 < -10 && x390 > 6 && x391 < -10 && x390 + x391 >= 4 && x333 + -1 * x400 = 0 && 9 * x330 + 3 * x331 + x332 + -9 * x401 + -3 * x402 + -1 * x403 = 0 && x404 < -10 && x404 + -2 * x405 = -5 && x406 > 6 && x405 < -10 && x406 + x405 >= 4 && x335 + -2 * x334 = -5 && x335 < -10 && 7 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 && 4 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 + x334 && 27 * x330 + 9 * x331 + 3 * x332 + x333 + -3 * x406 + -1 * x405 = 0 && x334 + -1 * x404 = 0 && x407 + -2 * x408 = -5 && x407 < -10 && x409 > 6 && x408 < -10 && x409 + x408 >= 4 && x334 + -2 * x333 = -5 && x334 < -10 && 9 * x330 + 3 * x331 + x332 >= 7 && 9 * x330 + 3 * x331 + x332 + x333 >= 4 && x333 + -1 * x407 = 0 && 9 * x330 + 3 * x331 + x332 + -3 * x409 + -1 * x408 = 0 && x400 + -2 * x403 = -5 && x400 < -10 && 7 <= 3 * x401 + x402 && 4 <= 3 * x401 + x402 + x403 && x403 + -2 * x402 = -5 && x403 < -10 && x401 > 6 && x401 + x402 >= 4 && x402 < -10 && x331 + -1 * x388 = 0 && x330 + -81 * x386 + -27 * x387 + -9 * x385 + -3 * x384 + -1 * x389 = 0)) && x356 + -2 * x355 = -5 && x356 < -10 && 7 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 && 4 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 + x355 && x355 + -2 * x354 = -5 && x355 < -10 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 >= 7 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 + x354 >= 4 && x348 + -2 * x357 = -5 && x348 < -10 && 7 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 && 4 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 + x357 && x357 + -2 * x356 = -5 && x357 < -10 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 >= 7 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 + x356 >= 4 && x352 + -2 * x351 = -5 && x352 < -10 && 7 <= 3 * x349 + x350 && 4 <= 3 * x349 + x350 + x351 && x351 + -2 * x350 = -5 && x351 < -10 && x349 > 6 && x350 < -10 && x349 + x350 >= 4 && x354 + -2 * x353 = -5 && x354 < -10 && 7 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 && 4 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 + x353 && x353 + -2 * x352 = -5 && x353 < -10 && 9 * x349 + 3 * x350 + x351 >= 7 && 9 * x349 + 3 * x350 + x351 + x352 >= 4 && (x339 = x410 && (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 = 6561 * x411 + 2187 * x412 + 729 * x413 + 243 * x414 + 81 * x415 + 27 * x416 + 9 * x417 + 3 * x418 + x419 && (x420 < -10 && x420 + -2 * x421 = -5 && 7 <= 3 * x422 + x423 && 4 <= 3 * x422 + x423 + x421 && x421 + -2 * x423 = -5 && x421 < -10 && x422 > 6 && x423 < -10 && x422 + x423 >= 4 && x424 + -2 * x425 = -5 && x424 < -10 && 7 <= 27 * x422 + 9 * x423 + 3 * x421 + x420 && 4 <= 27 * x422 + 9 * x423 + 3 * x421 + x420 + x425 && x425 + -2 * x420 = -5 && x425 < -10 && 9 * x422 + 3 * x423 + x421 >= 7 && 9 * x422 + 3 * x423 + x421 + x420 >= 4 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -9 * x426 + -3 * x427 + -1 * x428 = 0 && x343 + -1 * x429 = 0 && x430 < -10 && x430 + -2 * x431 = -5 && x432 > 6 && x431 < -10 && x432 + x431 >= 4 && x345 + -2 * x344 = -5 && x345 < -10 && 7 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 && 4 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + x344 && 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + -3 * x432 + -1 * x431 = 0 && x344 + -1 * x430 = 0 && x433 + -2 * x434 = -5 && x433 < -10 && x435 > 6 && x434 < -10 && x435 + x434 >= 4 && x344 + -2 * x343 = -5 && x344 < -10 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 >= 7 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + x343 >= 4 && x343 + -1 * x433 = 0 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -3 * x435 + -1 * x434 = 0 && x429 + -2 * x428 = -5 && x429 < -10 && 7 <= 3 * x426 + x427 && 4 <= 3 * x426 + x427 + x428 && x428 + -2 * x427 = -5 && x428 < -10 && x426 > 6 && x427 < -10 && x426 + x427 >= 4 && x345 + -1 * x436 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -9 * x437 + -3 * x438 + -1 * x439 = 0 && x440 < -10 && x440 + -2 * x441 = -5 && x442 > 6 && x441 < -10 && x442 + x441 >= 4 && x347 + -2 * x346 = -5 && x347 < -10 && 7 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 && 4 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + x346 && 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + -3 * x442 + -1 * x441 = 0 && x346 + -1 * x440 = 0 && x443 + -2 * x444 = -5 && x443 < -10 && x445 > 6 && x444 < -10 && x445 + x444 >= 4 && x346 + -2 * x345 = -5 && x346 < -10 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 >= 7 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + x345 >= 4 && x345 + -1 * x443 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -3 * x445 + -1 * x444 = 0 && x436 + -2 * x439 = -5 && x436 < -10 && 7 <= 3 * x437 + x438 && 4 <= 3 * x437 + x438 + x439 && x439 + -2 * x438 = -5 && x439 < -10 && x437 > 6 && x437 + x438 >= 4 && x438 < -10 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -81 * x422 + -27 * x423 + -9 * x421 + -3 * x420 + -1 * x425 = 0 && x343 + -1 * x424 = 0 && x446 + -2 * x447 = -5 && x446 < -10 && 7 <= 3 * x448 + x449 && 4 <= 3 * x448 + x449 + x447 && x447 + -2 * x449 = -5 && x447 < -10 && x448 > 6 && x449 < -10 && x448 + x449 >= 4 && x450 + -2 * x451 = -5 && x450 < -10 && 7 <= 27 * x448 + 9 * x449 + 3 * x447 + x446 && 4 <= 27 * x448 + 9 * x449 + 3 * x447 + x446 + x451 && x451 + -2 * x446 = -5 && x451 < -10 && 9 * x448 + 3 * x449 + x447 >= 7 && 9 * x448 + 3 * x449 + x447 + x446 >= 4 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -9 * x452 + -3 * x453 + -1 * x454 = 0 && x339 + -1 * x455 = 0 && x456 < -10 && x456 + -2 * x457 = -5 && x458 > 6 && x457 < -10 && x458 + x457 >= 4 && x341 + -2 * x340 = -5 && x341 < -10 && 7 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 && 4 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + x340 && 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + -3 * x458 + -1 * x457 = 0 && x340 + -1 * x456 = 0 && x459 + -2 * x460 = -5 && x459 < -10 && x461 > 6 && x460 < -10 && x461 + x460 >= 4 && x340 + -2 * x339 = -5 && x340 < -10 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 > 6 && x339 < -10 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + x339 >= 4 && x339 + -1 * x459 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -3 * x461 + -1 * x460 = 0 && x455 + -2 * x454 = -5 && x455 < -10 && 7 <= 3 * x452 + x453 && 4 <= 3 * x452 + x453 + x454 && x454 + -2 * x453 = -5 && x454 < -10 && x452 > 6 && x453 < -10 && x452 + x453 >= 4 && x341 + -1 * x462 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -9 * x463 + -3 * x464 + -1 * x465 = 0 && x466 < -10 && x466 + -2 * x467 = -5 && x468 > 6 && x467 < -10 && x468 + x467 >= 4 && x343 + -2 * x342 = -5 && x343 < -10 && 7 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 && 4 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + x342 && 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + -3 * x468 + -1 * x467 = 0 && x342 + -1 * x466 = 0 && x469 + -2 * x470 = -5 && x469 < -10 && x471 > 6 && x470 < -10 && x471 + x470 >= 4 && x342 + -2 * x341 = -5 && x342 < -10 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 >= 7 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + x341 >= 4 && x341 + -1 * x469 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -3 * x471 + -1 * x470 = 0 && x462 + -2 * x465 = -5 && x462 < -10 && 7 <= 3 * x463 + x464 && 4 <= 3 * x463 + x464 + x465 && x465 + -2 * x464 = -5 && x465 < -10 && x463 > 6 && x463 + x464 >= 4 && x464 < -10 && x339 + -1 * x450 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -81 * x448 + -27 * x449 + -9 * x447 + -3 * x446 + -1 * x451 = 0)) && x418 + -2 * x417 = -5 && x418 < -10 && 7 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 && 4 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 + x417 && x417 + -2 * x416 = -5 && x417 < -10 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 >= 7 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 + x416 >= 4 && x410 + -2 * x419 = -5 && x410 < -10 && 7 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 && 4 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 + x419 && x419 + -2 * x418 = -5 && x419 < -10 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 >= 7 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 + x418 >= 4 && x414 + -2 * x413 = -5 && x414 < -10 && 7 <= 3 * x411 + x412 && 4 <= 3 * x411 + x412 + x413 && x413 + -2 * x412 = -5 && x413 < -10 && x411 > 6 && x412 < -10 && x411 + x412 >= 4 && x416 + -2 * x415 = -5 && x416 < -10 && 7 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 && 4 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 + x415 && x415 + -2 * x414 = -5 && x415 < -10 && 9 * x411 + 3 * x412 + x413 >= 7 && 9 * x411 + 3 * x412 + x413 + x414 >= 4)

(71) Obligation:

Rules:
f_131(x472, x473) → f_131(43046721 * x472 + 14348907 * x473 + 4782969 * x474 + 1594323 * x475 + 531441 * x476 + 177147 * x477 + 59049 * x478 + 19683 * x479 + 6561 * x480 + 2187 * x481 + 729 * x482 + 243 * x483 + 81 * x484 + 27 * x485 + 9 * x486 + 3 * x487 + x488, x489) :|: TRUE && x473 + -1 * x490 = 0 && x472 + -6561 * x491 + -2187 * x492 + -729 * x493 + -243 * x494 + -81 * x495 + -27 * x496 + -9 * x497 + -3 * x498 + -1 * x499 = 0 && x500 <= -11 && x500 + -2 * x501 = -5 && -3 * x502 + -1 * x503 <= -7 && -3 * x502 + -1 * x503 + -1 * x501 <= -4 && x501 + -2 * x503 = -5 && x501 <= -11 && x502 >= 7 && x503 <= -11 && x502 + x503 >= 4 && x504 + -2 * x505 = -5 && x504 <= -11 && -27 * x502 + -9 * x503 + -3 * x501 + -1 * x500 <= -7 && -27 * x502 + -9 * x503 + -3 * x501 + -1 * x500 + -1 * x505 <= -4 && x505 + -2 * x500 = -5 && x505 <= -11 && 9 * x502 + 3 * x503 + x501 >= 7 && 9 * x502 + 3 * x503 + x501 + x500 >= 4 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -9 * x506 + -3 * x507 + -1 * x508 = 0 && x477 + -1 * x509 = 0 && x510 <= -11 && x510 + -2 * x511 = -5 && x512 >= 7 && x511 <= -11 && x512 + x511 >= 4 && x479 + -2 * x478 = -5 && x479 <= -11 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 <= -7 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 + -1 * x478 <= -4 && 243 * x472 + 81 * x473 + 27 * x474 + 9 * x475 + 3 * x476 + x477 + -3 * x512 + -1 * x511 = 0 && x478 + -1 * x510 = 0 && x513 + -2 * x514 = -5 && x513 <= -11 && x515 >= 7 && x514 <= -11 && x515 + x514 >= 4 && x478 + -2 * x477 = -5 && x478 <= -11 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 >= 7 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + x477 >= 4 && x477 + -1 * x513 = 0 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -3 * x515 + -1 * x514 = 0 && x509 + -2 * x508 = -5 && x509 <= -11 && -3 * x506 + -1 * x507 <= -7 && -3 * x506 + -1 * x507 + -1 * x508 <= -4 && x508 + -2 * x507 = -5 && x508 <= -11 && x506 >= 7 && x507 <= -11 && x506 + x507 >= 4 && x479 + -1 * x516 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -9 * x517 + -3 * x518 + -1 * x519 = 0 && x520 <= -11 && x520 + -2 * x521 = -5 && x522 >= 7 && x521 <= -11 && x522 + x521 >= 4 && x481 + -2 * x480 = -5 && x481 <= -11 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 <= -7 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 + -1 * x480 <= -4 && 2187 * x472 + 729 * x473 + 243 * x474 + 81 * x475 + 27 * x476 + 9 * x477 + 3 * x478 + x479 + -3 * x522 + -1 * x521 = 0 && x480 + -1 * x520 = 0 && x523 + -2 * x524 = -5 && x523 <= -11 && x525 >= 7 && x524 <= -11 && x525 + x524 >= 4 && x480 + -2 * x479 = -5 && x480 <= -11 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 >= 7 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + x479 >= 4 && x479 + -1 * x523 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -3 * x525 + -1 * x524 = 0 && x516 + -2 * x519 = -5 && x516 <= -11 && -3 * x517 + -1 * x518 <= -7 && -3 * x517 + -1 * x518 + -1 * x519 <= -4 && x519 + -2 * x518 = -5 && x519 <= -11 && x517 >= 7 && x517 + x518 >= 4 && x518 <= -11 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -81 * x502 + -27 * x503 + -9 * x501 + -3 * x500 + -1 * x505 = 0 && x477 + -1 * x504 = 0 && x526 + -2 * x527 = -5 && x526 <= -11 && -3 * x528 + -1 * x529 <= -7 && -3 * x528 + -1 * x529 + -1 * x527 <= -4 && x527 + -2 * x529 = -5 && x527 <= -11 && x528 >= 7 && x529 <= -11 && x528 + x529 >= 4 && x530 + -2 * x531 = -5 && x530 <= -11 && -27 * x528 + -9 * x529 + -3 * x527 + -1 * x526 <= -7 && -27 * x528 + -9 * x529 + -3 * x527 + -1 * x526 + -1 * x531 <= -4 && x531 + -2 * x526 = -5 && x531 <= -11 && 9 * x528 + 3 * x529 + x527 >= 7 && 9 * x528 + 3 * x529 + x527 + x526 >= 4 && x472 + -9 * x532 + -3 * x533 + -1 * x534 = 0 && x473 + -1 * x535 = 0 && x536 <= -11 && x536 + -2 * x537 = -5 && x538 >= 7 && x537 <= -11 && x538 + x537 >= 4 && x475 + -2 * x474 = -5 && x475 <= -11 && -3 * x472 + -1 * x473 <= -7 && -3 * x472 + -1 * x473 + -1 * x474 <= -4 && 3 * x472 + x473 + -3 * x538 + -1 * x537 = 0 && x474 + -1 * x536 = 0 && x539 + -2 * x540 = -5 && x539 <= -11 && x541 >= 7 && x540 <= -11 && x541 + x540 >= 4 && x474 + -2 * x473 = -5 && x474 <= -11 && x472 >= 7 && x473 <= -11 && x472 + x473 >= 4 && x473 + -1 * x539 = 0 && x472 + -3 * x541 + -1 * x540 = 0 && x535 + -2 * x534 = -5 && x535 <= -11 && -3 * x532 + -1 * x533 <= -7 && -3 * x532 + -1 * x533 + -1 * x534 <= -4 && x534 + -2 * x533 = -5 && x534 <= -11 && x532 >= 7 && x533 <= -11 && x532 + x533 >= 4 && x475 + -1 * x542 = 0 && 9 * x472 + 3 * x473 + x474 + -9 * x543 + -3 * x544 + -1 * x545 = 0 && x546 <= -11 && x546 + -2 * x547 = -5 && x548 >= 7 && x547 <= -11 && x548 + x547 >= 4 && x477 + -2 * x476 = -5 && x477 <= -11 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 <= -7 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 + -1 * x476 <= -4 && 27 * x472 + 9 * x473 + 3 * x474 + x475 + -3 * x548 + -1 * x547 = 0 && x476 + -1 * x546 = 0 && x549 + -2 * x550 = -5 && x549 <= -11 && x551 >= 7 && x550 <= -11 && x551 + x550 >= 4 && x476 + -2 * x475 = -5 && x476 <= -11 && 9 * x472 + 3 * x473 + x474 >= 7 && 9 * x472 + 3 * x473 + x474 + x475 >= 4 && x475 + -1 * x549 = 0 && 9 * x472 + 3 * x473 + x474 + -3 * x551 + -1 * x550 = 0 && x542 + -2 * x545 = -5 && x542 <= -11 && -3 * x543 + -1 * x544 <= -7 && -3 * x543 + -1 * x544 + -1 * x545 <= -4 && x545 + -2 * x544 = -5 && x545 <= -11 && x543 >= 7 && x543 + x544 >= 4 && x544 <= -11 && x473 + -1 * x530 = 0 && x472 + -81 * x528 + -27 * x529 + -9 * x527 + -3 * x526 + -1 * x531 = 0 && x498 + -2 * x497 = -5 && x498 <= -11 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 <= -7 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 + -1 * x497 <= -4 && x497 + -2 * x496 = -5 && x497 <= -11 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 >= 7 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 + x496 >= 4 && x490 + -2 * x499 = -5 && x490 <= -11 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 <= -7 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 + -1 * x499 <= -4 && x499 + -2 * x498 = -5 && x499 <= -11 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 >= 7 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 + x498 >= 4 && x494 + -2 * x493 = -5 && x494 <= -11 && -3 * x491 + -1 * x492 <= -7 && -3 * x491 + -1 * x492 + -1 * x493 <= -4 && x493 + -2 * x492 = -5 && x493 <= -11 && x491 >= 7 && x492 <= -11 && x491 + x492 >= 4 && x496 + -2 * x495 = -5 && x496 <= -11 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 <= -7 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 + -1 * x495 <= -4 && x495 + -2 * x494 = -5 && x495 <= -11 && 9 * x491 + 3 * x492 + x493 >= 7 && 9 * x491 + 3 * x492 + x493 + x494 >= 4 && x481 + -1 * x552 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -6561 * x553 + -2187 * x554 + -729 * x555 + -243 * x556 + -81 * x557 + -27 * x558 + -9 * x559 + -3 * x560 + -1 * x561 = 0 && x562 <= -11 && x562 + -2 * x563 = -5 && -3 * x564 + -1 * x565 <= -7 && -3 * x564 + -1 * x565 + -1 * x563 <= -4 && x563 + -2 * x565 = -5 && x563 <= -11 && x564 >= 7 && x565 <= -11 && x564 + x565 >= 4 && x566 + -2 * x567 = -5 && x566 <= -11 && -27 * x564 + -9 * x565 + -3 * x563 + -1 * x562 <= -7 && -27 * x564 + -9 * x565 + -3 * x563 + -1 * x562 + -1 * x567 <= -4 && x567 + -2 * x562 = -5 && x567 <= -11 && 9 * x564 + 3 * x565 + x563 >= 7 && 9 * x564 + 3 * x565 + x563 + x562 >= 4 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -9 * x568 + -3 * x569 + -1 * x570 = 0 && x485 + -1 * x571 = 0 && x572 <= -11 && x572 + -2 * x573 = -5 && x574 >= 7 && x573 <= -11 && x574 + x573 >= 4 && x487 + -2 * x486 = -5 && x487 <= -11 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 <= -7 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 + -1 * x486 <= -4 && 1594323 * x472 + 531441 * x473 + 177147 * x474 + 59049 * x475 + 19683 * x476 + 6561 * x477 + 2187 * x478 + 729 * x479 + 243 * x480 + 81 * x481 + 27 * x482 + 9 * x483 + 3 * x484 + x485 + -3 * x574 + -1 * x573 = 0 && x486 + -1 * x572 = 0 && x575 + -2 * x576 = -5 && x575 <= -11 && x577 >= 7 && x576 <= -11 && x577 + x576 >= 4 && x486 + -2 * x485 = -5 && x486 <= -11 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 >= 7 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + x485 >= 4 && x485 + -1 * x575 = 0 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -3 * x577 + -1 * x576 = 0 && x571 + -2 * x570 = -5 && x571 <= -11 && -3 * x568 + -1 * x569 <= -7 && -3 * x568 + -1 * x569 + -1 * x570 <= -4 && x570 + -2 * x569 = -5 && x570 <= -11 && x568 >= 7 && x569 <= -11 && x568 + x569 >= 4 && x487 + -1 * x578 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -9 * x579 + -3 * x580 + -1 * x581 = 0 && x582 <= -11 && x582 + -2 * x583 = -5 && x584 >= 7 && x583 <= -11 && x584 + x583 >= 4 && x489 + -2 * x488 = -5 && x489 <= -11 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 <= -7 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 + -1 * x488 <= -4 && 14348907 * x472 + 4782969 * x473 + 1594323 * x474 + 531441 * x475 + 177147 * x476 + 59049 * x477 + 19683 * x478 + 6561 * x479 + 2187 * x480 + 729 * x481 + 243 * x482 + 81 * x483 + 27 * x484 + 9 * x485 + 3 * x486 + x487 + -3 * x584 + -1 * x583 = 0 && x488 + -1 * x582 = 0 && x585 + -2 * x586 = -5 && x585 <= -11 && x587 >= 7 && x586 <= -11 && x587 + x586 >= 4 && x488 + -2 * x487 = -5 && x488 <= -11 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 >= 7 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + x487 >= 4 && x487 + -1 * x585 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -3 * x587 + -1 * x586 = 0 && x578 + -2 * x581 = -5 && x578 <= -11 && -3 * x579 + -1 * x580 <= -7 && -3 * x579 + -1 * x580 + -1 * x581 <= -4 && x581 + -2 * x580 = -5 && x581 <= -11 && x579 >= 7 && x579 + x580 >= 4 && x580 <= -11 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -81 * x564 + -27 * x565 + -9 * x563 + -3 * x562 + -1 * x567 = 0 && x485 + -1 * x566 = 0 && x588 + -2 * x589 = -5 && x588 <= -11 && -3 * x590 + -1 * x591 <= -7 && -3 * x590 + -1 * x591 + -1 * x589 <= -4 && x589 + -2 * x591 = -5 && x589 <= -11 && x590 >= 7 && x591 <= -11 && x590 + x591 >= 4 && x592 + -2 * x593 = -5 && x592 <= -11 && -27 * x590 + -9 * x591 + -3 * x589 + -1 * x588 <= -7 && -27 * x590 + -9 * x591 + -3 * x589 + -1 * x588 + -1 * x593 <= -4 && x593 + -2 * x588 = -5 && x593 <= -11 && 9 * x590 + 3 * x591 + x589 >= 7 && 9 * x590 + 3 * x591 + x589 + x588 >= 4 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -9 * x594 + -3 * x595 + -1 * x596 = 0 && x481 + -1 * x597 = 0 && x598 <= -11 && x598 + -2 * x599 = -5 && x600 >= 7 && x599 <= -11 && x600 + x599 >= 4 && x483 + -2 * x482 = -5 && x483 <= -11 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 <= -7 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 + -1 * x482 <= -4 && 19683 * x472 + 6561 * x473 + 2187 * x474 + 729 * x475 + 243 * x476 + 81 * x477 + 27 * x478 + 9 * x479 + 3 * x480 + x481 + -3 * x600 + -1 * x599 = 0 && x482 + -1 * x598 = 0 && x601 + -2 * x602 = -5 && x601 <= -11 && x603 >= 7 && x602 <= -11 && x603 + x602 >= 4 && x482 + -2 * x481 = -5 && x482 <= -11 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 >= 7 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + x481 >= 4 && x481 + -1 * x601 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -3 * x603 + -1 * x602 = 0 && x597 + -2 * x596 = -5 && x597 <= -11 && -3 * x594 + -1 * x595 <= -7 && -3 * x594 + -1 * x595 + -1 * x596 <= -4 && x596 + -2 * x595 = -5 && x596 <= -11 && x594 >= 7 && x595 <= -11 && x594 + x595 >= 4 && x483 + -1 * x604 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -9 * x605 + -3 * x606 + -1 * x607 = 0 && x608 <= -11 && x608 + -2 * x609 = -5 && x610 >= 7 && x609 <= -11 && x610 + x609 >= 4 && x485 + -2 * x484 = -5 && x485 <= -11 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 <= -7 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 + -1 * x484 <= -4 && 177147 * x472 + 59049 * x473 + 19683 * x474 + 6561 * x475 + 2187 * x476 + 729 * x477 + 243 * x478 + 81 * x479 + 27 * x480 + 9 * x481 + 3 * x482 + x483 + -3 * x610 + -1 * x609 = 0 && x484 + -1 * x608 = 0 && x611 + -2 * x612 = -5 && x611 <= -11 && x613 >= 7 && x612 <= -11 && x613 + x612 >= 4 && x484 + -2 * x483 = -5 && x484 <= -11 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 >= 7 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + x483 >= 4 && x483 + -1 * x611 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -3 * x613 + -1 * x612 = 0 && x604 + -2 * x607 = -5 && x604 <= -11 && -3 * x605 + -1 * x606 <= -7 && -3 * x605 + -1 * x606 + -1 * x607 <= -4 && x607 + -2 * x606 = -5 && x607 <= -11 && x605 >= 7 && x605 + x606 >= 4 && x606 <= -11 && x481 + -1 * x592 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -81 * x590 + -27 * x591 + -9 * x589 + -3 * x588 + -1 * x593 = 0 && x560 + -2 * x559 = -5 && x560 <= -11 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 <= -7 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 + -1 * x559 <= -4 && x559 + -2 * x558 = -5 && x559 <= -11 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 >= 7 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 + x558 >= 4 && x552 + -2 * x561 = -5 && x552 <= -11 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 <= -7 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 + -1 * x561 <= -4 && x561 + -2 * x560 = -5 && x561 <= -11 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 >= 7 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 + x560 >= 4 && x556 + -2 * x555 = -5 && x556 <= -11 && -3 * x553 + -1 * x554 <= -7 && -3 * x553 + -1 * x554 + -1 * x555 <= -4 && x555 + -2 * x554 = -5 && x555 <= -11 && x553 >= 7 && x554 <= -11 && x553 + x554 >= 4 && x558 + -2 * x557 = -5 && x558 <= -11 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 <= -7 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 + -1 * x557 <= -4 && x557 + -2 * x556 = -5 && x557 <= -11 && 9 * x553 + 3 * x554 + x555 >= 7 && 9 * x553 + 3 * x554 + x555 + x556 >= 4

(72) CaseAnalysis (EQUIVALENT transformation)

Found the following inductive condition:
f_131(x, x1): -29 + x - x1≥0

(73) Complex Obligation (AND)

(74) Obligation:

Rules:
f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0 && -29 + v91:0:0:0 + -1 * v93:0:0:0 >= 0

(75) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(76) Obligation:

Rules:
f_131(v91:0:0:0:0, v93:0:0:0:0) → f_131(3 * v91:0:0:0:0 + v93:0:0:0:0, v103:0:0:0:0) :|: 5 + v103:0:0:0:0 = 2 * v93:0:0:0:0 && 0 <= -29 + v91:0:0:0:0 + -1 * v93:0:0:0:0 && v103:0:0:0:0 < -10 && 3 * v91:0:0:0:0 > 20 && v91:0:0:0:0 > 6 && 22 <= -2 * v93:0:0:0:0 && v91:0:0:0:0 + v93:0:0:0:0 > 3

(77) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(v91:0:0:0:0, v93:0:0:0:0) → f_131(3 * v91:0:0:0:0 + v93:0:0:0:0, v103:0:0:0:0) :|: 5 + v103:0:0:0:0 = 2 * v93:0:0:0:0 && 0 <= -29 + v91:0:0:0:0 + -1 * v93:0:0:0:0 && v103:0:0:0:0 < -10 && 3 * v91:0:0:0:0 > 20 && v91:0:0:0:0 > 6 && 22 <= -2 * v93:0:0:0:0 && v91:0:0:0:0 + v93:0:0:0:0 > 3
has been transformed into
f_131(v91:0:0:0:0, v93:0:0:0:0) → f_131(3 * v91:0:0:0:0 + v93:0:0:0:0, v103:0:0:0:0) :|: v93:0:0:0:0 = x8 && (v91:0:0:0:0 = 3 * x6 + x7 && (5 + v103:0:0:0:0 = 2 * v93:0:0:0:0 && 0 <= -29 + v91:0:0:0:0 + -1 * v93:0:0:0:0 && v103:0:0:0:0 < -10 && 3 * v91:0:0:0:0 > 20 && v91:0:0:0:0 > 6 && 22 <= -2 * v93:0:0:0:0 && v91:0:0:0:0 + v93:0:0:0:0 > 3)) && 5 + x8 = 2 * x7 && 0 <= -29 + x6 + -1 * x7 && x8 < -10 && 3 * x6 > 20 && x6 > 6 && 22 <= -2 * x7 && x6 + x7 > 3.


f_131(v91:0:0:0:0, v93:0:0:0:0) → f_131(3 * v91:0:0:0:0 + v93:0:0:0:0, v103:0:0:0:0) :|: v93:0:0:0:0 = x8 && (v91:0:0:0:0 = 3 * x6 + x7 && (5 + v103:0:0:0:0 = 2 * v93:0:0:0:0 && 0 <= -29 + v91:0:0:0:0 + -1 * v93:0:0:0:0 && v103:0:0:0:0 < -10 && 3 * v91:0:0:0:0 > 20 && v91:0:0:0:0 > 6 && 22 <= -2 * v93:0:0:0:0 && v91:0:0:0:0 + v93:0:0:0:0 > 3)) && 5 + x8 = 2 * x7 && 0 <= -29 + x6 + -1 * x7 && x8 < -10 && 3 * x6 > 20 && x6 > 6 && 22 <= -2 * x7 && x6 + x7 > 3 and
f_131(v91:0:0:0:0, v93:0:0:0:0) → f_131(3 * v91:0:0:0:0 + v93:0:0:0:0, v103:0:0:0:0) :|: v93:0:0:0:0 = x8 && (v91:0:0:0:0 = 3 * x6 + x7 && (5 + v103:0:0:0:0 = 2 * v93:0:0:0:0 && 0 <= -29 + v91:0:0:0:0 + -1 * v93:0:0:0:0 && v103:0:0:0:0 < -10 && 3 * v91:0:0:0:0 > 20 && v91:0:0:0:0 > 6 && 22 <= -2 * v93:0:0:0:0 && v91:0:0:0:0 + v93:0:0:0:0 > 3)) && 5 + x8 = 2 * x7 && 0 <= -29 + x6 + -1 * x7 && x8 < -10 && 3 * x6 > 20 && x6 > 6 && 22 <= -2 * x7 && x6 + x7 > 3
have been merged into the new rule
f_131(x21, x22) → f_131(3 * (3 * x21 + x22) + x23, x24) :|: x22 = x25 && (x21 = 3 * x26 + x27 && (5 + x23 = 2 * x22 && 0 <= -29 + x21 + -1 * x22 && x23 < -10 && 3 * x21 > 20 && x21 > 6 && 22 <= -2 * x22 && x21 + x22 > 3)) && 5 + x25 = 2 * x27 && 0 <= -29 + x26 + -1 * x27 && x25 < -10 && 3 * x26 > 20 && x26 > 6 && 22 <= -2 * x27 && x26 + x27 > 3 && (x23 = x28 && (3 * x21 + x22 = 3 * x29 + x30 && (5 + x24 = 2 * x23 && 0 <= -29 + (3 * x21 + x22) + -1 * x23 && x24 < -10 && 3 * (3 * x21 + x22) > 20 && 3 * x21 + x22 > 6 && 22 <= -2 * x23 && 3 * x21 + x22 + x23 > 3)) && 5 + x28 = 2 * x30 && 0 <= -29 + x29 + -1 * x30 && x28 < -10 && 3 * x29 > 20 && x29 > 6 && 22 <= -2 * x30 && x29 + x30 > 3)

(78) Obligation:

Rules:
f_131(x31, x32) → f_131(9 * x31 + 3 * x32 + x33, x34) :|: TRUE && x32 + -1 * x35 = 0 && x31 + -3 * x36 + -1 * x37 = 0 && x33 + -2 * x32 = -5 && -1 * x31 + x32 <= -29 && x33 <= -11 && x31 >= 7 && x32 <= -11 && x31 + x32 >= 4 && x35 + -2 * x37 = -5 && -1 * x36 + x37 <= -29 && x35 <= -11 && x36 >= 7 && x37 <= -11 && x36 + x37 >= 4 && x33 + -1 * x38 = 0 && 3 * x31 + x32 + -3 * x39 + -1 * x40 = 0 && x34 + -2 * x33 = -5 && -3 * x31 + -1 * x32 + x33 <= -29 && x34 <= -11 && 3 * x31 + x32 >= 7 && 3 * x31 + x32 + x33 >= 4 && x38 + -2 * x40 = -5 && -1 * x39 + x40 <= -29 && x38 <= -11 && x39 >= 7 && x40 <= -11 && x39 + x40 >= 4

(79) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(80) Obligation:

Rules:
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x40:0 < -10 && x39:0 + x40:0 >= 4 && x39:0 > 6 && x38:0 < -10 && -29 >= -1 * x39:0 + x40:0 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && -3 * x31:0 + -1 * x32:0 + x33:0 <= -29 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x37:0 < -10 && x36:0 > 6 && x35:0 < -10 && -29 >= -1 * x36:0 + x37:0 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x32:0 < -10 && x31:0 > 6 && x33:0 < -10 && -29 >= -1 * x31:0 + x32:0 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0

(81) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x40:0 < -10 && x39:0 + x40:0 >= 4 && x39:0 > 6 && x38:0 < -10 && -29 >= -1 * x39:0 + x40:0 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && -3 * x31:0 + -1 * x32:0 + x33:0 <= -29 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x37:0 < -10 && x36:0 > 6 && x35:0 < -10 && -29 >= -1 * x36:0 + x37:0 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x32:0 < -10 && x31:0 > 6 && x33:0 < -10 && -29 >= -1 * x31:0 + x32:0 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0
has been transformed into
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x40:0 < -10 && x39:0 + x40:0 >= 4 && x39:0 > 6 && x38:0 < -10 && -29 >= -1 * x39:0 + x40:0 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && -3 * x31:0 + -1 * x32:0 + x33:0 <= -29 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x37:0 < -10 && x36:0 > 6 && x35:0 < -10 && -29 >= -1 * x36:0 + x37:0 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x32:0 < -10 && x31:0 > 6 && x33:0 < -10 && -29 >= -1 * x31:0 + x32:0 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && 4 <= 3 * x20 + x21 + x22 && 7 <= 3 * x20 + x21 && x23 < -10 && -3 * x20 + -1 * x21 + x22 <= -29 && x23 + -2 * x22 = -5 && x20 + x21 >= 4 && x21 < -10 && x20 > 6 && x22 < -10 && -29 >= -1 * x20 + x21 && x22 + -2 * x21 = -5.


f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x40:0 < -10 && x39:0 + x40:0 >= 4 && x39:0 > 6 && x38:0 < -10 && -29 >= -1 * x39:0 + x40:0 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && -3 * x31:0 + -1 * x32:0 + x33:0 <= -29 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x37:0 < -10 && x36:0 > 6 && x35:0 < -10 && -29 >= -1 * x36:0 + x37:0 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x32:0 < -10 && x31:0 > 6 && x33:0 < -10 && -29 >= -1 * x31:0 + x32:0 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && 4 <= 3 * x20 + x21 + x22 && 7 <= 3 * x20 + x21 && x23 < -10 && -3 * x20 + -1 * x21 + x22 <= -29 && x23 + -2 * x22 = -5 && x20 + x21 >= 4 && x21 < -10 && x20 > 6 && x22 < -10 && -29 >= -1 * x20 + x21 && x22 + -2 * x21 = -5 and
f_131(x31:0, x32:0) → f_131(9 * x31:0 + 3 * x32:0 + x33:0, x34:0) :|: x32:0 = x23 && (x31:0 = 9 * x20 + 3 * x21 + x22 && (x40:0 < -10 && x39:0 + x40:0 >= 4 && x39:0 > 6 && x38:0 < -10 && -29 >= -1 * x39:0 + x40:0 && x38:0 + -2 * x40:0 = -5 && 4 <= 3 * x31:0 + x32:0 + x33:0 && 7 <= 3 * x31:0 + x32:0 && x34:0 < -10 && -3 * x31:0 + -1 * x32:0 + x33:0 <= -29 && x34:0 + -2 * x33:0 = -5 && 3 * x31:0 + x32:0 + -3 * x39:0 + -1 * x40:0 = 0 && x33:0 + -1 * x38:0 = 0 && x36:0 + x37:0 >= 4 && x37:0 < -10 && x36:0 > 6 && x35:0 < -10 && -29 >= -1 * x36:0 + x37:0 && x35:0 + -2 * x37:0 = -5 && x31:0 + x32:0 >= 4 && x32:0 < -10 && x31:0 > 6 && x33:0 < -10 && -29 >= -1 * x31:0 + x32:0 && x33:0 + -2 * x32:0 = -5 && x32:0 + -1 * x35:0 = 0 && x31:0 + -3 * x36:0 + -1 * x37:0 = 0)) && 4 <= 3 * x20 + x21 + x22 && 7 <= 3 * x20 + x21 && x23 < -10 && -3 * x20 + -1 * x21 + x22 <= -29 && x23 + -2 * x22 = -5 && x20 + x21 >= 4 && x21 < -10 && x20 > 6 && x22 < -10 && -29 >= -1 * x20 + x21 && x22 + -2 * x21 = -5
have been merged into the new rule
f_131(x58, x59) → f_131(9 * (9 * x58 + 3 * x59 + x60) + 3 * x61 + x62, x63) :|: x59 = x64 && (x58 = 9 * x65 + 3 * x66 + x67 && (x68 < -10 && x69 + x68 >= 4 && x69 > 6 && x70 < -10 && -29 >= -1 * x69 + x68 && x70 + -2 * x68 = -5 && 4 <= 3 * x58 + x59 + x60 && 7 <= 3 * x58 + x59 && x61 < -10 && -3 * x58 + -1 * x59 + x60 <= -29 && x61 + -2 * x60 = -5 && 3 * x58 + x59 + -3 * x69 + -1 * x68 = 0 && x60 + -1 * x70 = 0 && x71 + x72 >= 4 && x72 < -10 && x71 > 6 && x73 < -10 && -29 >= -1 * x71 + x72 && x73 + -2 * x72 = -5 && x58 + x59 >= 4 && x59 < -10 && x58 > 6 && x60 < -10 && -29 >= -1 * x58 + x59 && x60 + -2 * x59 = -5 && x59 + -1 * x73 = 0 && x58 + -3 * x71 + -1 * x72 = 0)) && 4 <= 3 * x65 + x66 + x67 && 7 <= 3 * x65 + x66 && x64 < -10 && -3 * x65 + -1 * x66 + x67 <= -29 && x64 + -2 * x67 = -5 && x65 + x66 >= 4 && x66 < -10 && x65 > 6 && x67 < -10 && -29 >= -1 * x65 + x66 && x67 + -2 * x66 = -5 && (x61 = x74 && (9 * x58 + 3 * x59 + x60 = 9 * x75 + 3 * x76 + x77 && (x78 < -10 && x79 + x78 >= 4 && x79 > 6 && x80 < -10 && -29 >= -1 * x79 + x78 && x80 + -2 * x78 = -5 && 4 <= 3 * (9 * x58 + 3 * x59 + x60) + x61 + x62 && 7 <= 3 * (9 * x58 + 3 * x59 + x60) + x61 && x63 < -10 && -3 * (9 * x58 + 3 * x59 + x60) + -1 * x61 + x62 <= -29 && x63 + -2 * x62 = -5 && 3 * (9 * x58 + 3 * x59 + x60) + x61 + -3 * x79 + -1 * x78 = 0 && x62 + -1 * x80 = 0 && x81 + x82 >= 4 && x82 < -10 && x81 > 6 && x83 < -10 && -29 >= -1 * x81 + x82 && x83 + -2 * x82 = -5 && 9 * x58 + 3 * x59 + x60 + x61 >= 4 && x61 < -10 && 9 * x58 + 3 * x59 + x60 > 6 && x62 < -10 && -29 >= -1 * (9 * x58 + 3 * x59 + x60) + x61 && x62 + -2 * x61 = -5 && x61 + -1 * x83 = 0 && 9 * x58 + 3 * x59 + x60 + -3 * x81 + -1 * x82 = 0)) && 4 <= 3 * x75 + x76 + x77 && 7 <= 3 * x75 + x76 && x74 < -10 && -3 * x75 + -1 * x76 + x77 <= -29 && x74 + -2 * x77 = -5 && x75 + x76 >= 4 && x76 < -10 && x75 > 6 && x77 < -10 && -29 >= -1 * x75 + x76 && x77 + -2 * x76 = -5)

(82) Obligation:

Rules:
f_131(x84, x85) → f_131(81 * x84 + 27 * x85 + 9 * x86 + 3 * x87 + x88, x89) :|: TRUE && x85 + -1 * x90 = 0 && x84 + -9 * x91 + -3 * x92 + -1 * x93 = 0 && x94 <= -11 && x95 + x94 >= 4 && x95 >= 7 && x96 <= -11 && x95 + -1 * x94 >= 29 && x96 + -2 * x94 = -5 && -3 * x84 + -1 * x85 + -1 * x86 <= -4 && -3 * x84 + -1 * x85 <= -7 && x87 <= -11 && -3 * x84 + -1 * x85 + x86 <= -29 && x87 + -2 * x86 = -5 && 3 * x84 + x85 + -3 * x95 + -1 * x94 = 0 && x86 + -1 * x96 = 0 && x97 + x98 >= 4 && x98 <= -11 && x97 >= 7 && x99 <= -11 && x97 + -1 * x98 >= 29 && x99 + -2 * x98 = -5 && x84 + x85 >= 4 && x85 <= -11 && x84 >= 7 && x86 <= -11 && x84 + -1 * x85 >= 29 && x86 + -2 * x85 = -5 && x85 + -1 * x99 = 0 && x84 + -3 * x97 + -1 * x98 = 0 && -3 * x91 + -1 * x92 + -1 * x93 <= -4 && -3 * x91 + -1 * x92 <= -7 && x90 <= -11 && -3 * x91 + -1 * x92 + x93 <= -29 && x90 + -2 * x93 = -5 && x91 + x92 >= 4 && x92 <= -11 && x91 >= 7 && x93 <= -11 && x91 + -1 * x92 >= 29 && x93 + -2 * x92 = -5 && x87 + -1 * x100 = 0 && 9 * x84 + 3 * x85 + x86 + -9 * x101 + -3 * x102 + -1 * x103 = 0 && x104 <= -11 && x105 + x104 >= 4 && x105 >= 7 && x106 <= -11 && x105 + -1 * x104 >= 29 && x106 + -2 * x104 = -5 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 + -1 * x88 <= -4 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 <= -7 && x89 <= -11 && -27 * x84 + -9 * x85 + -3 * x86 + -1 * x87 + x88 <= -29 && x89 + -2 * x88 = -5 && 27 * x84 + 9 * x85 + 3 * x86 + x87 + -3 * x105 + -1 * x104 = 0 && x88 + -1 * x106 = 0 && x107 + x108 >= 4 && x108 <= -11 && x107 >= 7 && x109 <= -11 && x107 + -1 * x108 >= 29 && x109 + -2 * x108 = -5 && 9 * x84 + 3 * x85 + x86 + x87 >= 4 && 9 * x84 + 3 * x85 + x86 >= 7 && x88 <= -11 && 9 * x84 + 3 * x85 + x86 + -1 * x87 >= 29 && x88 + -2 * x87 = -5 && x87 + -1 * x109 = 0 && 9 * x84 + 3 * x85 + x86 + -3 * x107 + -1 * x108 = 0 && -3 * x101 + -1 * x102 + -1 * x103 <= -4 && -3 * x101 + -1 * x102 <= -7 && x100 <= -11 && -3 * x101 + -1 * x102 + x103 <= -29 && x100 + -2 * x103 = -5 && x101 + x102 >= 4 && x102 <= -11 && x101 >= 7 && x103 <= -11 && x101 + -1 * x102 >= 29 && x103 + -2 * x102 = -5

(83) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(84) Obligation:

Rules:
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x101:0 + -1 * x102:0 >= 29 && x103:0 + -2 * x102:0 = -5 && x103:0 < -10 && x101:0 > 6 && x102:0 < -10 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && -3 * x101:0 + -1 * x102:0 + x103:0 <= -29 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -1 * x87:0 >= 29 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x107:0 + -1 * x108:0 >= 29 && x109:0 < -10 && x107:0 > 6 && x108:0 < -10 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x105:0 + -1 * x104:0 = 0 && x89:0 + -2 * x88:0 = -5 && -29 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + x88:0 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x104:0 = -5 && x105:0 + -1 * x104:0 >= 29 && x106:0 < -10 && x105:0 > 6 && x105:0 + x104:0 >= 4 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x91:0 + -1 * x92:0 >= 29 && x93:0 < -10 && x91:0 > 6 && x92:0 < -10 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && -3 * x91:0 + -1 * x92:0 + x93:0 <= -29 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x84:0 + -1 * x85:0 >= 29 && x86:0 < -10 && x84:0 > 6 && x85:0 < -10 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x97:0 + -1 * x98:0 >= 29 && x99:0 < -10 && x97:0 > 6 && x98:0 < -10 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x95:0 + -1 * x94:0 = 0 && x87:0 + -2 * x86:0 = -5 && -3 * x84:0 + -1 * x85:0 + x86:0 <= -29 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x94:0 = -5 && x95:0 + -1 * x94:0 >= 29 && x96:0 < -10 && x95:0 > 6 && x95:0 + x94:0 >= 4 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0

(85) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x101:0 + -1 * x102:0 >= 29 && x103:0 + -2 * x102:0 = -5 && x103:0 < -10 && x101:0 > 6 && x102:0 < -10 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && -3 * x101:0 + -1 * x102:0 + x103:0 <= -29 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -1 * x87:0 >= 29 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x107:0 + -1 * x108:0 >= 29 && x109:0 < -10 && x107:0 > 6 && x108:0 < -10 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x105:0 + -1 * x104:0 = 0 && x89:0 + -2 * x88:0 = -5 && -29 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + x88:0 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x104:0 = -5 && x105:0 + -1 * x104:0 >= 29 && x106:0 < -10 && x105:0 > 6 && x105:0 + x104:0 >= 4 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x91:0 + -1 * x92:0 >= 29 && x93:0 < -10 && x91:0 > 6 && x92:0 < -10 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && -3 * x91:0 + -1 * x92:0 + x93:0 <= -29 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x84:0 + -1 * x85:0 >= 29 && x86:0 < -10 && x84:0 > 6 && x85:0 < -10 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x97:0 + -1 * x98:0 >= 29 && x99:0 < -10 && x97:0 > 6 && x98:0 < -10 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x95:0 + -1 * x94:0 = 0 && x87:0 + -2 * x86:0 = -5 && -3 * x84:0 + -1 * x85:0 + x86:0 <= -29 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x94:0 = -5 && x95:0 + -1 * x94:0 >= 29 && x96:0 < -10 && x95:0 > 6 && x95:0 + x94:0 >= 4 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0
has been transformed into
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x101:0 + -1 * x102:0 >= 29 && x103:0 + -2 * x102:0 = -5 && x103:0 < -10 && x101:0 > 6 && x102:0 < -10 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && -3 * x101:0 + -1 * x102:0 + x103:0 <= -29 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -1 * x87:0 >= 29 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x107:0 + -1 * x108:0 >= 29 && x109:0 < -10 && x107:0 > 6 && x108:0 < -10 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x105:0 + -1 * x104:0 = 0 && x89:0 + -2 * x88:0 = -5 && -29 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + x88:0 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x104:0 = -5 && x105:0 + -1 * x104:0 >= 29 && x106:0 < -10 && x105:0 > 6 && x105:0 + x104:0 >= 4 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x91:0 + -1 * x92:0 >= 29 && x93:0 < -10 && x91:0 > 6 && x92:0 < -10 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && -3 * x91:0 + -1 * x92:0 + x93:0 <= -29 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x84:0 + -1 * x85:0 >= 29 && x86:0 < -10 && x84:0 > 6 && x85:0 < -10 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x97:0 + -1 * x98:0 >= 29 && x99:0 < -10 && x97:0 > 6 && x98:0 < -10 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x95:0 + -1 * x94:0 = 0 && x87:0 + -2 * x86:0 = -5 && -3 * x84:0 + -1 * x85:0 + x86:0 <= -29 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x94:0 = -5 && x95:0 + -1 * x94:0 >= 29 && x96:0 < -10 && x95:0 > 6 && x95:0 + x94:0 >= 4 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && x56 + -2 * x55 = -5 && 9 * x52 + 3 * x53 + x54 + -1 * x55 >= 29 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && x57 + -2 * x56 = -5 && -29 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + x56 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x54 + -2 * x53 = -5 && x52 + -1 * x53 >= 29 && x54 < -10 && x52 > 6 && x53 < -10 && x52 + x53 >= 4 && x55 + -2 * x54 = -5 && -3 * x52 + -1 * x53 + x54 <= -29 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54.


f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x101:0 + -1 * x102:0 >= 29 && x103:0 + -2 * x102:0 = -5 && x103:0 < -10 && x101:0 > 6 && x102:0 < -10 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && -3 * x101:0 + -1 * x102:0 + x103:0 <= -29 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -1 * x87:0 >= 29 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x107:0 + -1 * x108:0 >= 29 && x109:0 < -10 && x107:0 > 6 && x108:0 < -10 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x105:0 + -1 * x104:0 = 0 && x89:0 + -2 * x88:0 = -5 && -29 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + x88:0 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x104:0 = -5 && x105:0 + -1 * x104:0 >= 29 && x106:0 < -10 && x105:0 > 6 && x105:0 + x104:0 >= 4 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x91:0 + -1 * x92:0 >= 29 && x93:0 < -10 && x91:0 > 6 && x92:0 < -10 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && -3 * x91:0 + -1 * x92:0 + x93:0 <= -29 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x84:0 + -1 * x85:0 >= 29 && x86:0 < -10 && x84:0 > 6 && x85:0 < -10 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x97:0 + -1 * x98:0 >= 29 && x99:0 < -10 && x97:0 > 6 && x98:0 < -10 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x95:0 + -1 * x94:0 = 0 && x87:0 + -2 * x86:0 = -5 && -3 * x84:0 + -1 * x85:0 + x86:0 <= -29 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x94:0 = -5 && x95:0 + -1 * x94:0 >= 29 && x96:0 < -10 && x95:0 > 6 && x95:0 + x94:0 >= 4 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && x56 + -2 * x55 = -5 && 9 * x52 + 3 * x53 + x54 + -1 * x55 >= 29 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && x57 + -2 * x56 = -5 && -29 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + x56 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x54 + -2 * x53 = -5 && x52 + -1 * x53 >= 29 && x54 < -10 && x52 > 6 && x53 < -10 && x52 + x53 >= 4 && x55 + -2 * x54 = -5 && -3 * x52 + -1 * x53 + x54 <= -29 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54 and
f_131(x84:0, x85:0) → f_131(81 * x84:0 + 27 * x85:0 + 9 * x86:0 + 3 * x87:0 + x88:0, x89:0) :|: x85:0 = x57 && (x84:0 = 81 * x52 + 27 * x53 + 9 * x54 + 3 * x55 + x56 && (x101:0 + -1 * x102:0 >= 29 && x103:0 + -2 * x102:0 = -5 && x103:0 < -10 && x101:0 > 6 && x102:0 < -10 && x101:0 + x102:0 >= 4 && x100:0 + -2 * x103:0 = -5 && -3 * x101:0 + -1 * x102:0 + x103:0 <= -29 && x100:0 < -10 && -7 >= -3 * x101:0 + -1 * x102:0 && -4 >= -3 * x101:0 + -1 * x102:0 + -1 * x103:0 && 9 * x84:0 + 3 * x85:0 + x86:0 + -3 * x107:0 + -1 * x108:0 = 0 && x87:0 + -1 * x109:0 = 0 && x88:0 + -2 * x87:0 = -5 && 9 * x84:0 + 3 * x85:0 + x86:0 + -1 * x87:0 >= 29 && x88:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 >= 7 && 9 * x84:0 + 3 * x85:0 + x86:0 + x87:0 >= 4 && x109:0 + -2 * x108:0 = -5 && x107:0 + -1 * x108:0 >= 29 && x109:0 < -10 && x107:0 > 6 && x108:0 < -10 && x107:0 + x108:0 >= 4 && x88:0 + -1 * x106:0 = 0 && 27 * x84:0 + 9 * x85:0 + 3 * x86:0 + x87:0 + -3 * x105:0 + -1 * x104:0 = 0 && x89:0 + -2 * x88:0 = -5 && -29 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + x88:0 && x89:0 < -10 && -7 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 && -4 >= -27 * x84:0 + -9 * x85:0 + -3 * x86:0 + -1 * x87:0 + -1 * x88:0 && x106:0 + -2 * x104:0 = -5 && x105:0 + -1 * x104:0 >= 29 && x106:0 < -10 && x105:0 > 6 && x105:0 + x104:0 >= 4 && x104:0 < -10 && 9 * x84:0 + 3 * x85:0 + x86:0 + -9 * x101:0 + -3 * x102:0 + -1 * x103:0 = 0 && x87:0 + -1 * x100:0 = 0 && x93:0 + -2 * x92:0 = -5 && x91:0 + -1 * x92:0 >= 29 && x93:0 < -10 && x91:0 > 6 && x92:0 < -10 && x91:0 + x92:0 >= 4 && x90:0 + -2 * x93:0 = -5 && -3 * x91:0 + -1 * x92:0 + x93:0 <= -29 && x90:0 < -10 && -7 >= -3 * x91:0 + -1 * x92:0 && -4 >= -3 * x91:0 + -1 * x92:0 + -1 * x93:0 && x84:0 + -3 * x97:0 + -1 * x98:0 = 0 && x85:0 + -1 * x99:0 = 0 && x86:0 + -2 * x85:0 = -5 && x84:0 + -1 * x85:0 >= 29 && x86:0 < -10 && x84:0 > 6 && x85:0 < -10 && x84:0 + x85:0 >= 4 && x99:0 + -2 * x98:0 = -5 && x97:0 + -1 * x98:0 >= 29 && x99:0 < -10 && x97:0 > 6 && x98:0 < -10 && x97:0 + x98:0 >= 4 && x86:0 + -1 * x96:0 = 0 && 3 * x84:0 + x85:0 + -3 * x95:0 + -1 * x94:0 = 0 && x87:0 + -2 * x86:0 = -5 && -3 * x84:0 + -1 * x85:0 + x86:0 <= -29 && x87:0 < -10 && -7 >= -3 * x84:0 + -1 * x85:0 && -4 >= -3 * x84:0 + -1 * x85:0 + -1 * x86:0 && x96:0 + -2 * x94:0 = -5 && x95:0 + -1 * x94:0 >= 29 && x96:0 < -10 && x95:0 > 6 && x95:0 + x94:0 >= 4 && x94:0 < -10 && x85:0 + -1 * x90:0 = 0 && x84:0 + -9 * x91:0 + -3 * x92:0 + -1 * x93:0 = 0)) && x56 + -2 * x55 = -5 && 9 * x52 + 3 * x53 + x54 + -1 * x55 >= 29 && x56 < -10 && 9 * x52 + 3 * x53 + x54 >= 7 && 9 * x52 + 3 * x53 + x54 + x55 >= 4 && x57 + -2 * x56 = -5 && -29 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + x56 && x57 < -10 && -7 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 && -4 >= -27 * x52 + -9 * x53 + -3 * x54 + -1 * x55 + -1 * x56 && x54 + -2 * x53 = -5 && x52 + -1 * x53 >= 29 && x54 < -10 && x52 > 6 && x53 < -10 && x52 + x53 >= 4 && x55 + -2 * x54 = -5 && -3 * x52 + -1 * x53 + x54 <= -29 && x55 < -10 && -7 >= -3 * x52 + -1 * x53 && -4 >= -3 * x52 + -1 * x53 + -1 * x54
have been merged into the new rule
f_131(x142, x143) → f_131(81 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 27 * x147 + 9 * x148 + 3 * x149 + x150, x151) :|: x143 = x152 && (x142 = 81 * x153 + 27 * x154 + 9 * x155 + 3 * x156 + x157 && (x158 + -1 * x159 >= 29 && x160 + -2 * x159 = -5 && x160 < -10 && x158 > 6 && x159 < -10 && x158 + x159 >= 4 && x161 + -2 * x160 = -5 && -3 * x158 + -1 * x159 + x160 <= -29 && x161 < -10 && -7 >= -3 * x158 + -1 * x159 && -4 >= -3 * x158 + -1 * x159 + -1 * x160 && 9 * x142 + 3 * x143 + x144 + -3 * x162 + -1 * x163 = 0 && x145 + -1 * x164 = 0 && x146 + -2 * x145 = -5 && 9 * x142 + 3 * x143 + x144 + -1 * x145 >= 29 && x146 < -10 && 9 * x142 + 3 * x143 + x144 >= 7 && 9 * x142 + 3 * x143 + x144 + x145 >= 4 && x164 + -2 * x163 = -5 && x162 + -1 * x163 >= 29 && x164 < -10 && x162 > 6 && x163 < -10 && x162 + x163 >= 4 && x146 + -1 * x165 = 0 && 27 * x142 + 9 * x143 + 3 * x144 + x145 + -3 * x166 + -1 * x167 = 0 && x147 + -2 * x146 = -5 && -29 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 + x146 && x147 < -10 && -7 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 && -4 >= -27 * x142 + -9 * x143 + -3 * x144 + -1 * x145 + -1 * x146 && x165 + -2 * x167 = -5 && x166 + -1 * x167 >= 29 && x165 < -10 && x166 > 6 && x166 + x167 >= 4 && x167 < -10 && 9 * x142 + 3 * x143 + x144 + -9 * x158 + -3 * x159 + -1 * x160 = 0 && x145 + -1 * x161 = 0 && x168 + -2 * x169 = -5 && x170 + -1 * x169 >= 29 && x168 < -10 && x170 > 6 && x169 < -10 && x170 + x169 >= 4 && x171 + -2 * x168 = -5 && -3 * x170 + -1 * x169 + x168 <= -29 && x171 < -10 && -7 >= -3 * x170 + -1 * x169 && -4 >= -3 * x170 + -1 * x169 + -1 * x168 && x142 + -3 * x172 + -1 * x173 = 0 && x143 + -1 * x174 = 0 && x144 + -2 * x143 = -5 && x142 + -1 * x143 >= 29 && x144 < -10 && x142 > 6 && x143 < -10 && x142 + x143 >= 4 && x174 + -2 * x173 = -5 && x172 + -1 * x173 >= 29 && x174 < -10 && x172 > 6 && x173 < -10 && x172 + x173 >= 4 && x144 + -1 * x175 = 0 && 3 * x142 + x143 + -3 * x176 + -1 * x177 = 0 && x145 + -2 * x144 = -5 && -3 * x142 + -1 * x143 + x144 <= -29 && x145 < -10 && -7 >= -3 * x142 + -1 * x143 && -4 >= -3 * x142 + -1 * x143 + -1 * x144 && x175 + -2 * x177 = -5 && x176 + -1 * x177 >= 29 && x175 < -10 && x176 > 6 && x176 + x177 >= 4 && x177 < -10 && x143 + -1 * x171 = 0 && x142 + -9 * x170 + -3 * x169 + -1 * x168 = 0)) && x157 + -2 * x156 = -5 && 9 * x153 + 3 * x154 + x155 + -1 * x156 >= 29 && x157 < -10 && 9 * x153 + 3 * x154 + x155 >= 7 && 9 * x153 + 3 * x154 + x155 + x156 >= 4 && x152 + -2 * x157 = -5 && -29 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 + x157 && x152 < -10 && -7 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 && -4 >= -27 * x153 + -9 * x154 + -3 * x155 + -1 * x156 + -1 * x157 && x155 + -2 * x154 = -5 && x153 + -1 * x154 >= 29 && x155 < -10 && x153 > 6 && x154 < -10 && x153 + x154 >= 4 && x156 + -2 * x155 = -5 && -3 * x153 + -1 * x154 + x155 <= -29 && x156 < -10 && -7 >= -3 * x153 + -1 * x154 && -4 >= -3 * x153 + -1 * x154 + -1 * x155 && (x147 = x178 && (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 = 81 * x179 + 27 * x180 + 9 * x181 + 3 * x182 + x183 && (x184 + -1 * x185 >= 29 && x186 + -2 * x185 = -5 && x186 < -10 && x184 > 6 && x185 < -10 && x184 + x185 >= 4 && x187 + -2 * x186 = -5 && -3 * x184 + -1 * x185 + x186 <= -29 && x187 < -10 && -7 >= -3 * x184 + -1 * x185 && -4 >= -3 * x184 + -1 * x185 + -1 * x186 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -3 * x188 + -1 * x189 = 0 && x149 + -1 * x190 = 0 && x150 + -2 * x149 = -5 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -1 * x149 >= 29 && x150 < -10 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 >= 7 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + x149 >= 4 && x190 + -2 * x189 = -5 && x188 + -1 * x189 >= 29 && x190 < -10 && x188 > 6 && x189 < -10 && x188 + x189 >= 4 && x150 + -1 * x191 = 0 && 27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 9 * x147 + 3 * x148 + x149 + -3 * x192 + -1 * x193 = 0 && x151 + -2 * x150 = -5 && -29 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 + x150 && x151 < -10 && -7 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 && -4 >= -27 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -9 * x147 + -3 * x148 + -1 * x149 + -1 * x150 && x191 + -2 * x193 = -5 && x192 + -1 * x193 >= 29 && x191 < -10 && x192 > 6 && x192 + x193 >= 4 && x193 < -10 && 9 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + 3 * x147 + x148 + -9 * x184 + -3 * x185 + -1 * x186 = 0 && x149 + -1 * x187 = 0 && x194 + -2 * x195 = -5 && x196 + -1 * x195 >= 29 && x194 < -10 && x196 > 6 && x195 < -10 && x196 + x195 >= 4 && x197 + -2 * x194 = -5 && -3 * x196 + -1 * x195 + x194 <= -29 && x197 < -10 && -7 >= -3 * x196 + -1 * x195 && -4 >= -3 * x196 + -1 * x195 + -1 * x194 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -3 * x198 + -1 * x199 = 0 && x147 + -1 * x200 = 0 && x148 + -2 * x147 = -5 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -1 * x147 >= 29 && x148 < -10 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 > 6 && x147 < -10 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + x147 >= 4 && x200 + -2 * x199 = -5 && x198 + -1 * x199 >= 29 && x200 < -10 && x198 > 6 && x199 < -10 && x198 + x199 >= 4 && x148 + -1 * x201 = 0 && 3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + x147 + -3 * x202 + -1 * x203 = 0 && x149 + -2 * x148 = -5 && -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 + x148 <= -29 && x149 < -10 && -7 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 && -4 >= -3 * (81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146) + -1 * x147 + -1 * x148 && x201 + -2 * x203 = -5 && x202 + -1 * x203 >= 29 && x201 < -10 && x202 > 6 && x202 + x203 >= 4 && x203 < -10 && x147 + -1 * x197 = 0 && 81 * x142 + 27 * x143 + 9 * x144 + 3 * x145 + x146 + -9 * x196 + -3 * x195 + -1 * x194 = 0)) && x183 + -2 * x182 = -5 && 9 * x179 + 3 * x180 + x181 + -1 * x182 >= 29 && x183 < -10 && 9 * x179 + 3 * x180 + x181 >= 7 && 9 * x179 + 3 * x180 + x181 + x182 >= 4 && x178 + -2 * x183 = -5 && -29 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 + x183 && x178 < -10 && -7 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 && -4 >= -27 * x179 + -9 * x180 + -3 * x181 + -1 * x182 + -1 * x183 && x181 + -2 * x180 = -5 && x179 + -1 * x180 >= 29 && x181 < -10 && x179 > 6 && x180 < -10 && x179 + x180 >= 4 && x182 + -2 * x181 = -5 && -3 * x179 + -1 * x180 + x181 <= -29 && x182 < -10 && -7 >= -3 * x179 + -1 * x180 && -4 >= -3 * x179 + -1 * x180 + -1 * x181)

(86) Obligation:

Rules:
f_131(x204, x205) → f_131(6561 * x204 + 2187 * x205 + 729 * x206 + 243 * x207 + 81 * x208 + 27 * x209 + 9 * x210 + 3 * x211 + x212, x213) :|: TRUE && x205 + -1 * x214 = 0 && x204 + -81 * x215 + -27 * x216 + -9 * x217 + -3 * x218 + -1 * x219 = 0 && x220 + -1 * x221 >= 29 && x222 + -2 * x221 = -5 && x222 <= -11 && x220 >= 7 && x221 <= -11 && x220 + x221 >= 4 && x223 + -2 * x222 = -5 && -3 * x220 + -1 * x221 + x222 <= -29 && x223 <= -11 && 3 * x220 + x221 >= 7 && 3 * x220 + x221 + x222 >= 4 && 9 * x204 + 3 * x205 + x206 + -3 * x224 + -1 * x225 = 0 && x207 + -1 * x226 = 0 && x208 + -2 * x207 = -5 && 9 * x204 + 3 * x205 + x206 + -1 * x207 >= 29 && x208 <= -11 && 9 * x204 + 3 * x205 + x206 >= 7 && 9 * x204 + 3 * x205 + x206 + x207 >= 4 && x226 + -2 * x225 = -5 && x224 + -1 * x225 >= 29 && x226 <= -11 && x224 >= 7 && x225 <= -11 && x224 + x225 >= 4 && x208 + -1 * x227 = 0 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + -3 * x228 + -1 * x229 = 0 && x209 + -2 * x208 = -5 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + -1 * x208 >= 29 && x209 <= -11 && 27 * x204 + 9 * x205 + 3 * x206 + x207 >= 7 && 27 * x204 + 9 * x205 + 3 * x206 + x207 + x208 >= 4 && x227 + -2 * x229 = -5 && x228 + -1 * x229 >= 29 && x227 <= -11 && x228 >= 7 && x228 + x229 >= 4 && x229 <= -11 && 9 * x204 + 3 * x205 + x206 + -9 * x220 + -3 * x221 + -1 * x222 = 0 && x207 + -1 * x223 = 0 && x230 + -2 * x231 = -5 && x232 + -1 * x231 >= 29 && x230 <= -11 && x232 >= 7 && x231 <= -11 && x232 + x231 >= 4 && x233 + -2 * x230 = -5 && -3 * x232 + -1 * x231 + x230 <= -29 && x233 <= -11 && 3 * x232 + x231 >= 7 && 3 * x232 + x231 + x230 >= 4 && x204 + -3 * x234 + -1 * x235 = 0 && x205 + -1 * x236 = 0 && x206 + -2 * x205 = -5 && x204 + -1 * x205 >= 29 && x206 <= -11 && x204 >= 7 && x205 <= -11 && x204 + x205 >= 4 && x236 + -2 * x235 = -5 && x234 + -1 * x235 >= 29 && x236 <= -11 && x234 >= 7 && x235 <= -11 && x234 + x235 >= 4 && x206 + -1 * x237 = 0 && 3 * x204 + x205 + -3 * x238 + -1 * x239 = 0 && x207 + -2 * x206 = -5 && -3 * x204 + -1 * x205 + x206 <= -29 && x207 <= -11 && 3 * x204 + x205 >= 7 && 3 * x204 + x205 + x206 >= 4 && x237 + -2 * x239 = -5 && x238 + -1 * x239 >= 29 && x237 <= -11 && x238 >= 7 && x238 + x239 >= 4 && x239 <= -11 && x205 + -1 * x233 = 0 && x204 + -9 * x232 + -3 * x231 + -1 * x230 = 0 && x219 + -2 * x218 = -5 && 9 * x215 + 3 * x216 + x217 + -1 * x218 >= 29 && x219 <= -11 && 9 * x215 + 3 * x216 + x217 >= 7 && 9 * x215 + 3 * x216 + x217 + x218 >= 4 && x214 + -2 * x219 = -5 && 27 * x215 + 9 * x216 + 3 * x217 + x218 + -1 * x219 >= 29 && x214 <= -11 && 27 * x215 + 9 * x216 + 3 * x217 + x218 >= 7 && 27 * x215 + 9 * x216 + 3 * x217 + x218 + x219 >= 4 && x217 + -2 * x216 = -5 && x215 + -1 * x216 >= 29 && x217 <= -11 && x215 >= 7 && x216 <= -11 && x215 + x216 >= 4 && x218 + -2 * x217 = -5 && -3 * x215 + -1 * x216 + x217 <= -29 && x218 <= -11 && 3 * x215 + x216 >= 7 && 3 * x215 + x216 + x217 >= 4 && x209 + -1 * x240 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -81 * x241 + -27 * x242 + -9 * x243 + -3 * x244 + -1 * x245 = 0 && x246 + -1 * x247 >= 29 && x248 + -2 * x247 = -5 && x248 <= -11 && x246 >= 7 && x247 <= -11 && x246 + x247 >= 4 && x249 + -2 * x248 = -5 && -3 * x246 + -1 * x247 + x248 <= -29 && x249 <= -11 && 3 * x246 + x247 >= 7 && 3 * x246 + x247 + x248 >= 4 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -3 * x250 + -1 * x251 = 0 && x211 + -1 * x252 = 0 && x212 + -2 * x211 = -5 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -1 * x211 >= 29 && x212 <= -11 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 >= 7 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + x211 >= 4 && x252 + -2 * x251 = -5 && x250 + -1 * x251 >= 29 && x252 <= -11 && x250 >= 7 && x251 <= -11 && x250 + x251 >= 4 && x212 + -1 * x253 = 0 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + -3 * x254 + -1 * x255 = 0 && x213 + -2 * x212 = -5 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + -1 * x212 >= 29 && x213 <= -11 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 >= 7 && 2187 * x204 + 729 * x205 + 243 * x206 + 81 * x207 + 27 * x208 + 9 * x209 + 3 * x210 + x211 + x212 >= 4 && x253 + -2 * x255 = -5 && x254 + -1 * x255 >= 29 && x253 <= -11 && x254 >= 7 && x254 + x255 >= 4 && x255 <= -11 && 729 * x204 + 243 * x205 + 81 * x206 + 27 * x207 + 9 * x208 + 3 * x209 + x210 + -9 * x246 + -3 * x247 + -1 * x248 = 0 && x211 + -1 * x249 = 0 && x256 + -2 * x257 = -5 && x258 + -1 * x257 >= 29 && x256 <= -11 && x258 >= 7 && x257 <= -11 && x258 + x257 >= 4 && x259 + -2 * x256 = -5 && -3 * x258 + -1 * x257 + x256 <= -29 && x259 <= -11 && 3 * x258 + x257 >= 7 && 3 * x258 + x257 + x256 >= 4 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -3 * x260 + -1 * x261 = 0 && x209 + -1 * x262 = 0 && x210 + -2 * x209 = -5 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -1 * x209 >= 29 && x210 <= -11 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 >= 7 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + x209 >= 4 && x262 + -2 * x261 = -5 && x260 + -1 * x261 >= 29 && x262 <= -11 && x260 >= 7 && x261 <= -11 && x260 + x261 >= 4 && x210 + -1 * x263 = 0 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + -3 * x264 + -1 * x265 = 0 && x211 + -2 * x210 = -5 && -243 * x204 + -81 * x205 + -27 * x206 + -9 * x207 + -3 * x208 + -1 * x209 + x210 <= -29 && x211 <= -11 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 >= 7 && 243 * x204 + 81 * x205 + 27 * x206 + 9 * x207 + 3 * x208 + x209 + x210 >= 4 && x263 + -2 * x265 = -5 && x264 + -1 * x265 >= 29 && x263 <= -11 && x264 >= 7 && x264 + x265 >= 4 && x265 <= -11 && x209 + -1 * x259 = 0 && 81 * x204 + 27 * x205 + 9 * x206 + 3 * x207 + x208 + -9 * x258 + -3 * x257 + -1 * x256 = 0 && x245 + -2 * x244 = -5 && 9 * x241 + 3 * x242 + x243 + -1 * x244 >= 29 && x245 <= -11 && 9 * x241 + 3 * x242 + x243 >= 7 && 9 * x241 + 3 * x242 + x243 + x244 >= 4 && x240 + -2 * x245 = -5 && 27 * x241 + 9 * x242 + 3 * x243 + x244 + -1 * x245 >= 29 && x240 <= -11 && 27 * x241 + 9 * x242 + 3 * x243 + x244 >= 7 && 27 * x241 + 9 * x242 + 3 * x243 + x244 + x245 >= 4 && x243 + -2 * x242 = -5 && x241 + -1 * x242 >= 29 && x243 <= -11 && x241 >= 7 && x242 <= -11 && x241 + x242 >= 4 && x244 + -2 * x243 = -5 && -3 * x241 + -1 * x242 + x243 <= -29 && x244 <= -11 && 3 * x241 + x242 >= 7 && 3 * x241 + x242 + x243 >= 4

(87) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(88) Obligation:

Rules:
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && -3 * x241:0 + -1 * x242:0 + x243:0 <= -29 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x241:0 > 6 && x243:0 < -10 && x241:0 + -1 * x242:0 >= 29 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && 29 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + -1 * x245:0 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 + -1 * x244:0 >= 29 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x264:0 > 6 && x263:0 < -10 && x264:0 + -1 * x265:0 >= 29 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && -29 >= -243 * x204:0 + -81 * x205:0 + -27 * x206:0 + -9 * x207:0 + -3 * x208:0 + -1 * x209:0 + x210:0 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x261:0 < -10 && x260:0 > 6 && x262:0 < -10 && x260:0 + -1 * x261:0 >= 29 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -1 * x209:0 >= 29 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && -3 * x258:0 + -1 * x257:0 + x256:0 <= -29 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x257:0 < -10 && x258:0 > 6 && x256:0 < -10 && x258:0 + -1 * x257:0 >= 29 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x254:0 > 6 && x253:0 < -10 && x254:0 + -1 * x255:0 >= 29 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && 29 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -1 * x212:0 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x251:0 < -10 && x250:0 > 6 && x252:0 < -10 && x250:0 + -1 * x251:0 >= 29 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -1 * x211:0 >= 29 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && -3 * x246:0 + -1 * x247:0 + x248:0 <= -29 && x249:0 + -2 * x248:0 = -5 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && x246:0 + -1 * x247:0 >= 29 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && -3 * x215:0 + -1 * x216:0 + x217:0 <= -29 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x215:0 > 6 && x217:0 < -10 && x215:0 + -1 * x216:0 >= 29 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && 29 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + -1 * x219:0 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 + -1 * x218:0 >= 29 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x238:0 > 6 && x237:0 < -10 && x238:0 + -1 * x239:0 >= 29 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && -3 * x204:0 + -1 * x205:0 + x206:0 <= -29 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x235:0 < -10 && x234:0 > 6 && x236:0 < -10 && x234:0 + -1 * x235:0 >= 29 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x204:0 > 6 && x206:0 < -10 && x204:0 + -1 * x205:0 >= 29 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && -3 * x232:0 + -1 * x231:0 + x230:0 <= -29 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x231:0 < -10 && x232:0 > 6 && x230:0 < -10 && x232:0 + -1 * x231:0 >= 29 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x228:0 > 6 && x227:0 < -10 && x228:0 + -1 * x229:0 >= 29 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && 29 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -1 * x208:0 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x225:0 < -10 && x224:0 > 6 && x226:0 < -10 && x224:0 + -1 * x225:0 >= 29 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -1 * x207:0 >= 29 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && -3 * x220:0 + -1 * x221:0 + x222:0 <= -29 && x223:0 + -2 * x222:0 = -5 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && x220:0 + -1 * x221:0 >= 29 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0

(89) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained one non-trivial SCC.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: 7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && -3 * x241:0 + -1 * x242:0 + x243:0 <= -29 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x241:0 > 6 && x243:0 < -10 && x241:0 + -1 * x242:0 >= 29 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && 29 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + -1 * x245:0 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 + -1 * x244:0 >= 29 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x264:0 > 6 && x263:0 < -10 && x264:0 + -1 * x265:0 >= 29 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && -29 >= -243 * x204:0 + -81 * x205:0 + -27 * x206:0 + -9 * x207:0 + -3 * x208:0 + -1 * x209:0 + x210:0 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x261:0 < -10 && x260:0 > 6 && x262:0 < -10 && x260:0 + -1 * x261:0 >= 29 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -1 * x209:0 >= 29 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && -3 * x258:0 + -1 * x257:0 + x256:0 <= -29 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x257:0 < -10 && x258:0 > 6 && x256:0 < -10 && x258:0 + -1 * x257:0 >= 29 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x254:0 > 6 && x253:0 < -10 && x254:0 + -1 * x255:0 >= 29 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && 29 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -1 * x212:0 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x251:0 < -10 && x250:0 > 6 && x252:0 < -10 && x250:0 + -1 * x251:0 >= 29 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -1 * x211:0 >= 29 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && -3 * x246:0 + -1 * x247:0 + x248:0 <= -29 && x249:0 + -2 * x248:0 = -5 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && x246:0 + -1 * x247:0 >= 29 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && -3 * x215:0 + -1 * x216:0 + x217:0 <= -29 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x215:0 > 6 && x217:0 < -10 && x215:0 + -1 * x216:0 >= 29 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && 29 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + -1 * x219:0 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 + -1 * x218:0 >= 29 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x238:0 > 6 && x237:0 < -10 && x238:0 + -1 * x239:0 >= 29 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && -3 * x204:0 + -1 * x205:0 + x206:0 <= -29 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x235:0 < -10 && x234:0 > 6 && x236:0 < -10 && x234:0 + -1 * x235:0 >= 29 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x204:0 > 6 && x206:0 < -10 && x204:0 + -1 * x205:0 >= 29 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && -3 * x232:0 + -1 * x231:0 + x230:0 <= -29 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x231:0 < -10 && x232:0 > 6 && x230:0 < -10 && x232:0 + -1 * x231:0 >= 29 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x228:0 > 6 && x227:0 < -10 && x228:0 + -1 * x229:0 >= 29 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && 29 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -1 * x208:0 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x225:0 < -10 && x224:0 > 6 && x226:0 < -10 && x224:0 + -1 * x225:0 >= 29 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -1 * x207:0 >= 29 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && -3 * x220:0 + -1 * x221:0 + x222:0 <= -29 && x223:0 + -2 * x222:0 = -5 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && x220:0 + -1 * x221:0 >= 29 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0
has been transformed into
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && -3 * x241:0 + -1 * x242:0 + x243:0 <= -29 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x241:0 > 6 && x243:0 < -10 && x241:0 + -1 * x242:0 >= 29 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && 29 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + -1 * x245:0 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 + -1 * x244:0 >= 29 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x264:0 > 6 && x263:0 < -10 && x264:0 + -1 * x265:0 >= 29 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && -29 >= -243 * x204:0 + -81 * x205:0 + -27 * x206:0 + -9 * x207:0 + -3 * x208:0 + -1 * x209:0 + x210:0 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x261:0 < -10 && x260:0 > 6 && x262:0 < -10 && x260:0 + -1 * x261:0 >= 29 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -1 * x209:0 >= 29 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && -3 * x258:0 + -1 * x257:0 + x256:0 <= -29 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x257:0 < -10 && x258:0 > 6 && x256:0 < -10 && x258:0 + -1 * x257:0 >= 29 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x254:0 > 6 && x253:0 < -10 && x254:0 + -1 * x255:0 >= 29 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && 29 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -1 * x212:0 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x251:0 < -10 && x250:0 > 6 && x252:0 < -10 && x250:0 + -1 * x251:0 >= 29 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -1 * x211:0 >= 29 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && -3 * x246:0 + -1 * x247:0 + x248:0 <= -29 && x249:0 + -2 * x248:0 = -5 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && x246:0 + -1 * x247:0 >= 29 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && -3 * x215:0 + -1 * x216:0 + x217:0 <= -29 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x215:0 > 6 && x217:0 < -10 && x215:0 + -1 * x216:0 >= 29 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && 29 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + -1 * x219:0 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 + -1 * x218:0 >= 29 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x238:0 > 6 && x237:0 < -10 && x238:0 + -1 * x239:0 >= 29 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && -3 * x204:0 + -1 * x205:0 + x206:0 <= -29 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x235:0 < -10 && x234:0 > 6 && x236:0 < -10 && x234:0 + -1 * x235:0 >= 29 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x204:0 > 6 && x206:0 < -10 && x204:0 + -1 * x205:0 >= 29 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && -3 * x232:0 + -1 * x231:0 + x230:0 <= -29 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x231:0 < -10 && x232:0 > 6 && x230:0 < -10 && x232:0 + -1 * x231:0 >= 29 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x228:0 > 6 && x227:0 < -10 && x228:0 + -1 * x229:0 >= 29 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && 29 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -1 * x208:0 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x225:0 < -10 && x224:0 > 6 && x226:0 < -10 && x224:0 + -1 * x225:0 >= 29 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -1 * x207:0 >= 29 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && -3 * x220:0 + -1 * x221:0 + x222:0 <= -29 && x223:0 + -2 * x222:0 = -5 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && x220:0 + -1 * x221:0 >= 29 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && -29 >= -243 * x124 + -81 * x125 + -27 * x126 + -9 * x127 + -3 * x128 + -1 * x129 + x130 && x131 + -2 * x130 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && x130 < -10 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + -1 * x129 >= 29 && x130 + -2 * x129 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && 29 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + -1 * x132 && x133 + -2 * x132 = -5 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + -1 * x131 >= 29 && x132 + -2 * x131 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && -3 * x124 + -1 * x125 + x126 <= -29 && x127 + -2 * x126 = -5 && x124 + x125 >= 4 && x125 < -10 && x124 > 6 && x126 < -10 && x124 + -1 * x125 >= 29 && x126 + -2 * x125 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && 29 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + -1 * x128 && x129 + -2 * x128 = -5 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && 9 * x124 + 3 * x125 + x126 + -1 * x127 >= 29 && x128 + -2 * x127 = -5.


f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && -3 * x241:0 + -1 * x242:0 + x243:0 <= -29 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x241:0 > 6 && x243:0 < -10 && x241:0 + -1 * x242:0 >= 29 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && 29 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + -1 * x245:0 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 + -1 * x244:0 >= 29 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x264:0 > 6 && x263:0 < -10 && x264:0 + -1 * x265:0 >= 29 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && -29 >= -243 * x204:0 + -81 * x205:0 + -27 * x206:0 + -9 * x207:0 + -3 * x208:0 + -1 * x209:0 + x210:0 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x261:0 < -10 && x260:0 > 6 && x262:0 < -10 && x260:0 + -1 * x261:0 >= 29 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -1 * x209:0 >= 29 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && -3 * x258:0 + -1 * x257:0 + x256:0 <= -29 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x257:0 < -10 && x258:0 > 6 && x256:0 < -10 && x258:0 + -1 * x257:0 >= 29 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x254:0 > 6 && x253:0 < -10 && x254:0 + -1 * x255:0 >= 29 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && 29 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -1 * x212:0 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x251:0 < -10 && x250:0 > 6 && x252:0 < -10 && x250:0 + -1 * x251:0 >= 29 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -1 * x211:0 >= 29 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && -3 * x246:0 + -1 * x247:0 + x248:0 <= -29 && x249:0 + -2 * x248:0 = -5 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && x246:0 + -1 * x247:0 >= 29 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && -3 * x215:0 + -1 * x216:0 + x217:0 <= -29 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x215:0 > 6 && x217:0 < -10 && x215:0 + -1 * x216:0 >= 29 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && 29 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + -1 * x219:0 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 + -1 * x218:0 >= 29 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x238:0 > 6 && x237:0 < -10 && x238:0 + -1 * x239:0 >= 29 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && -3 * x204:0 + -1 * x205:0 + x206:0 <= -29 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x235:0 < -10 && x234:0 > 6 && x236:0 < -10 && x234:0 + -1 * x235:0 >= 29 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x204:0 > 6 && x206:0 < -10 && x204:0 + -1 * x205:0 >= 29 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && -3 * x232:0 + -1 * x231:0 + x230:0 <= -29 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x231:0 < -10 && x232:0 > 6 && x230:0 < -10 && x232:0 + -1 * x231:0 >= 29 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x228:0 > 6 && x227:0 < -10 && x228:0 + -1 * x229:0 >= 29 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && 29 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -1 * x208:0 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x225:0 < -10 && x224:0 > 6 && x226:0 < -10 && x224:0 + -1 * x225:0 >= 29 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -1 * x207:0 >= 29 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && -3 * x220:0 + -1 * x221:0 + x222:0 <= -29 && x223:0 + -2 * x222:0 = -5 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && x220:0 + -1 * x221:0 >= 29 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && -29 >= -243 * x124 + -81 * x125 + -27 * x126 + -9 * x127 + -3 * x128 + -1 * x129 + x130 && x131 + -2 * x130 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && x130 < -10 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + -1 * x129 >= 29 && x130 + -2 * x129 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && 29 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + -1 * x132 && x133 + -2 * x132 = -5 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + -1 * x131 >= 29 && x132 + -2 * x131 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && -3 * x124 + -1 * x125 + x126 <= -29 && x127 + -2 * x126 = -5 && x124 + x125 >= 4 && x125 < -10 && x124 > 6 && x126 < -10 && x124 + -1 * x125 >= 29 && x126 + -2 * x125 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && 29 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + -1 * x128 && x129 + -2 * x128 = -5 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && 9 * x124 + 3 * x125 + x126 + -1 * x127 >= 29 && x128 + -2 * x127 = -5 and
f_131(x204:0, x205:0) → f_131(6561 * x204:0 + 2187 * x205:0 + 729 * x206:0 + 243 * x207:0 + 81 * x208:0 + 27 * x209:0 + 9 * x210:0 + 3 * x211:0 + x212:0, x213:0) :|: x205:0 = x133 && (x204:0 = 6561 * x124 + 2187 * x125 + 729 * x126 + 243 * x127 + 81 * x128 + 27 * x129 + 9 * x130 + 3 * x131 + x132 && (7 <= 3 * x241:0 + x242:0 && 4 <= 3 * x241:0 + x242:0 + x243:0 && x244:0 < -10 && -3 * x241:0 + -1 * x242:0 + x243:0 <= -29 && x244:0 + -2 * x243:0 = -5 && x241:0 + x242:0 >= 4 && x242:0 < -10 && x241:0 > 6 && x243:0 < -10 && x241:0 + -1 * x242:0 >= 29 && x243:0 + -2 * x242:0 = -5 && 4 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + x245:0 && 7 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 && x240:0 < -10 && 29 <= 27 * x241:0 + 9 * x242:0 + 3 * x243:0 + x244:0 + -1 * x245:0 && x240:0 + -2 * x245:0 = -5 && 9 * x241:0 + 3 * x242:0 + x243:0 + x244:0 >= 4 && 9 * x241:0 + 3 * x242:0 + x243:0 >= 7 && x245:0 < -10 && 9 * x241:0 + 3 * x242:0 + x243:0 + -1 * x244:0 >= 29 && x245:0 + -2 * x244:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -9 * x258:0 + -3 * x257:0 + -1 * x256:0 = 0 && x209:0 + -1 * x259:0 = 0 && x265:0 < -10 && x264:0 + x265:0 >= 4 && x264:0 > 6 && x263:0 < -10 && x264:0 + -1 * x265:0 >= 29 && x263:0 + -2 * x265:0 = -5 && 4 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + x210:0 && 7 <= 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 && x211:0 < -10 && -29 >= -243 * x204:0 + -81 * x205:0 + -27 * x206:0 + -9 * x207:0 + -3 * x208:0 + -1 * x209:0 + x210:0 && x211:0 + -2 * x210:0 = -5 && 243 * x204:0 + 81 * x205:0 + 27 * x206:0 + 9 * x207:0 + 3 * x208:0 + x209:0 + -3 * x264:0 + -1 * x265:0 = 0 && x210:0 + -1 * x263:0 = 0 && x260:0 + x261:0 >= 4 && x261:0 < -10 && x260:0 > 6 && x262:0 < -10 && x260:0 + -1 * x261:0 >= 29 && x262:0 + -2 * x261:0 = -5 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + x209:0 >= 4 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 >= 7 && x210:0 < -10 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -1 * x209:0 >= 29 && x210:0 + -2 * x209:0 = -5 && x209:0 + -1 * x262:0 = 0 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -3 * x260:0 + -1 * x261:0 = 0 && 4 <= 3 * x258:0 + x257:0 + x256:0 && 7 <= 3 * x258:0 + x257:0 && x259:0 < -10 && -3 * x258:0 + -1 * x257:0 + x256:0 <= -29 && x259:0 + -2 * x256:0 = -5 && x258:0 + x257:0 >= 4 && x257:0 < -10 && x258:0 > 6 && x256:0 < -10 && x258:0 + -1 * x257:0 >= 29 && x256:0 + -2 * x257:0 = -5 && x211:0 + -1 * x249:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -9 * x246:0 + -3 * x247:0 + -1 * x248:0 = 0 && x255:0 < -10 && x254:0 + x255:0 >= 4 && x254:0 > 6 && x253:0 < -10 && x254:0 + -1 * x255:0 >= 29 && x253:0 + -2 * x255:0 = -5 && 4 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + x212:0 && 7 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 && x213:0 < -10 && 29 <= 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -1 * x212:0 && x213:0 + -2 * x212:0 = -5 && 2187 * x204:0 + 729 * x205:0 + 243 * x206:0 + 81 * x207:0 + 27 * x208:0 + 9 * x209:0 + 3 * x210:0 + x211:0 + -3 * x254:0 + -1 * x255:0 = 0 && x212:0 + -1 * x253:0 = 0 && x250:0 + x251:0 >= 4 && x251:0 < -10 && x250:0 > 6 && x252:0 < -10 && x250:0 + -1 * x251:0 >= 29 && x252:0 + -2 * x251:0 = -5 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + x211:0 >= 4 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 >= 7 && x212:0 < -10 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -1 * x211:0 >= 29 && x212:0 + -2 * x211:0 = -5 && x211:0 + -1 * x252:0 = 0 && 729 * x204:0 + 243 * x205:0 + 81 * x206:0 + 27 * x207:0 + 9 * x208:0 + 3 * x209:0 + x210:0 + -3 * x250:0 + -1 * x251:0 = 0 && 4 <= 3 * x246:0 + x247:0 + x248:0 && 7 <= 3 * x246:0 + x247:0 && x249:0 < -10 && -3 * x246:0 + -1 * x247:0 + x248:0 <= -29 && x249:0 + -2 * x248:0 = -5 && x246:0 + x247:0 >= 4 && x247:0 < -10 && x246:0 > 6 && x248:0 < -10 && x248:0 + -2 * x247:0 = -5 && x246:0 + -1 * x247:0 >= 29 && 81 * x204:0 + 27 * x205:0 + 9 * x206:0 + 3 * x207:0 + x208:0 + -81 * x241:0 + -27 * x242:0 + -9 * x243:0 + -3 * x244:0 + -1 * x245:0 = 0 && x209:0 + -1 * x240:0 = 0 && 4 <= 3 * x215:0 + x216:0 + x217:0 && 7 <= 3 * x215:0 + x216:0 && x218:0 < -10 && -3 * x215:0 + -1 * x216:0 + x217:0 <= -29 && x218:0 + -2 * x217:0 = -5 && x215:0 + x216:0 >= 4 && x216:0 < -10 && x215:0 > 6 && x217:0 < -10 && x215:0 + -1 * x216:0 >= 29 && x217:0 + -2 * x216:0 = -5 && 4 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + x219:0 && 7 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 && x214:0 < -10 && 29 <= 27 * x215:0 + 9 * x216:0 + 3 * x217:0 + x218:0 + -1 * x219:0 && x214:0 + -2 * x219:0 = -5 && 9 * x215:0 + 3 * x216:0 + x217:0 + x218:0 >= 4 && 9 * x215:0 + 3 * x216:0 + x217:0 >= 7 && x219:0 < -10 && 9 * x215:0 + 3 * x216:0 + x217:0 + -1 * x218:0 >= 29 && x219:0 + -2 * x218:0 = -5 && x204:0 + -9 * x232:0 + -3 * x231:0 + -1 * x230:0 = 0 && x205:0 + -1 * x233:0 = 0 && x239:0 < -10 && x238:0 + x239:0 >= 4 && x238:0 > 6 && x237:0 < -10 && x238:0 + -1 * x239:0 >= 29 && x237:0 + -2 * x239:0 = -5 && 4 <= 3 * x204:0 + x205:0 + x206:0 && 7 <= 3 * x204:0 + x205:0 && x207:0 < -10 && -3 * x204:0 + -1 * x205:0 + x206:0 <= -29 && x207:0 + -2 * x206:0 = -5 && 3 * x204:0 + x205:0 + -3 * x238:0 + -1 * x239:0 = 0 && x206:0 + -1 * x237:0 = 0 && x234:0 + x235:0 >= 4 && x235:0 < -10 && x234:0 > 6 && x236:0 < -10 && x234:0 + -1 * x235:0 >= 29 && x236:0 + -2 * x235:0 = -5 && x204:0 + x205:0 >= 4 && x205:0 < -10 && x204:0 > 6 && x206:0 < -10 && x204:0 + -1 * x205:0 >= 29 && x206:0 + -2 * x205:0 = -5 && x205:0 + -1 * x236:0 = 0 && x204:0 + -3 * x234:0 + -1 * x235:0 = 0 && 4 <= 3 * x232:0 + x231:0 + x230:0 && 7 <= 3 * x232:0 + x231:0 && x233:0 < -10 && -3 * x232:0 + -1 * x231:0 + x230:0 <= -29 && x233:0 + -2 * x230:0 = -5 && x232:0 + x231:0 >= 4 && x231:0 < -10 && x232:0 > 6 && x230:0 < -10 && x232:0 + -1 * x231:0 >= 29 && x230:0 + -2 * x231:0 = -5 && x207:0 + -1 * x223:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -9 * x220:0 + -3 * x221:0 + -1 * x222:0 = 0 && x229:0 < -10 && x228:0 + x229:0 >= 4 && x228:0 > 6 && x227:0 < -10 && x228:0 + -1 * x229:0 >= 29 && x227:0 + -2 * x229:0 = -5 && 4 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + x208:0 && 7 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 && x209:0 < -10 && 29 <= 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -1 * x208:0 && x209:0 + -2 * x208:0 = -5 && 27 * x204:0 + 9 * x205:0 + 3 * x206:0 + x207:0 + -3 * x228:0 + -1 * x229:0 = 0 && x208:0 + -1 * x227:0 = 0 && x224:0 + x225:0 >= 4 && x225:0 < -10 && x224:0 > 6 && x226:0 < -10 && x224:0 + -1 * x225:0 >= 29 && x226:0 + -2 * x225:0 = -5 && 9 * x204:0 + 3 * x205:0 + x206:0 + x207:0 >= 4 && 9 * x204:0 + 3 * x205:0 + x206:0 >= 7 && x208:0 < -10 && 9 * x204:0 + 3 * x205:0 + x206:0 + -1 * x207:0 >= 29 && x208:0 + -2 * x207:0 = -5 && x207:0 + -1 * x226:0 = 0 && 9 * x204:0 + 3 * x205:0 + x206:0 + -3 * x224:0 + -1 * x225:0 = 0 && 4 <= 3 * x220:0 + x221:0 + x222:0 && 7 <= 3 * x220:0 + x221:0 && x223:0 < -10 && -3 * x220:0 + -1 * x221:0 + x222:0 <= -29 && x223:0 + -2 * x222:0 = -5 && x220:0 + x221:0 >= 4 && x221:0 < -10 && x220:0 > 6 && x222:0 < -10 && x222:0 + -2 * x221:0 = -5 && x220:0 + -1 * x221:0 >= 29 && x205:0 + -1 * x214:0 = 0 && x204:0 + -81 * x215:0 + -27 * x216:0 + -9 * x217:0 + -3 * x218:0 + -1 * x219:0 = 0)) && 4 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 + x130 && 7 <= 243 * x124 + 81 * x125 + 27 * x126 + 9 * x127 + 3 * x128 + x129 && x131 < -10 && -29 >= -243 * x124 + -81 * x125 + -27 * x126 + -9 * x127 + -3 * x128 + -1 * x129 + x130 && x131 + -2 * x130 = -5 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + x129 >= 4 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 >= 7 && x130 < -10 && 81 * x124 + 27 * x125 + 9 * x126 + 3 * x127 + x128 + -1 * x129 >= 29 && x130 + -2 * x129 = -5 && 4 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + x132 && 7 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 && x133 < -10 && 29 <= 2187 * x124 + 729 * x125 + 243 * x126 + 81 * x127 + 27 * x128 + 9 * x129 + 3 * x130 + x131 + -1 * x132 && x133 + -2 * x132 = -5 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + x131 >= 4 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 >= 7 && x132 < -10 && 729 * x124 + 243 * x125 + 81 * x126 + 27 * x127 + 9 * x128 + 3 * x129 + x130 + -1 * x131 >= 29 && x132 + -2 * x131 = -5 && 4 <= 3 * x124 + x125 + x126 && 7 <= 3 * x124 + x125 && x127 < -10 && -3 * x124 + -1 * x125 + x126 <= -29 && x127 + -2 * x126 = -5 && x124 + x125 >= 4 && x125 < -10 && x124 > 6 && x126 < -10 && x124 + -1 * x125 >= 29 && x126 + -2 * x125 = -5 && 4 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + x128 && 7 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 && x129 < -10 && 29 <= 27 * x124 + 9 * x125 + 3 * x126 + x127 + -1 * x128 && x129 + -2 * x128 = -5 && 9 * x124 + 3 * x125 + x126 + x127 >= 4 && 9 * x124 + 3 * x125 + x126 >= 7 && x128 < -10 && 9 * x124 + 3 * x125 + x126 + -1 * x127 >= 29 && x128 + -2 * x127 = -5
have been merged into the new rule
f_131(x330, x331) → f_131(6561 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 2187 * x339 + 729 * x340 + 243 * x341 + 81 * x342 + 27 * x343 + 9 * x344 + 3 * x345 + x346, x347) :|: x331 = x348 && (x330 = 6561 * x349 + 2187 * x350 + 729 * x351 + 243 * x352 + 81 * x353 + 27 * x354 + 9 * x355 + 3 * x356 + x357 && (7 <= 3 * x358 + x359 && 4 <= 3 * x358 + x359 + x360 && x361 < -10 && -3 * x358 + -1 * x359 + x360 <= -29 && x361 + -2 * x360 = -5 && x358 + x359 >= 4 && x359 < -10 && x358 > 6 && x360 < -10 && x358 + -1 * x359 >= 29 && x360 + -2 * x359 = -5 && 4 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 + x362 && 7 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 && x363 < -10 && 29 <= 27 * x358 + 9 * x359 + 3 * x360 + x361 + -1 * x362 && x363 + -2 * x362 = -5 && 9 * x358 + 3 * x359 + x360 + x361 >= 4 && 9 * x358 + 3 * x359 + x360 >= 7 && x362 < -10 && 9 * x358 + 3 * x359 + x360 + -1 * x361 >= 29 && x362 + -2 * x361 = -5 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -9 * x364 + -3 * x365 + -1 * x366 = 0 && x335 + -1 * x367 = 0 && x368 < -10 && x369 + x368 >= 4 && x369 > 6 && x370 < -10 && x369 + -1 * x368 >= 29 && x370 + -2 * x368 = -5 && 4 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + x336 && 7 <= 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 && x337 < -10 && -29 >= -243 * x330 + -81 * x331 + -27 * x332 + -9 * x333 + -3 * x334 + -1 * x335 + x336 && x337 + -2 * x336 = -5 && 243 * x330 + 81 * x331 + 27 * x332 + 9 * x333 + 3 * x334 + x335 + -3 * x369 + -1 * x368 = 0 && x336 + -1 * x370 = 0 && x371 + x372 >= 4 && x372 < -10 && x371 > 6 && x373 < -10 && x371 + -1 * x372 >= 29 && x373 + -2 * x372 = -5 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + x335 >= 4 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 >= 7 && x336 < -10 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -1 * x335 >= 29 && x336 + -2 * x335 = -5 && x335 + -1 * x373 = 0 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -3 * x371 + -1 * x372 = 0 && 4 <= 3 * x364 + x365 + x366 && 7 <= 3 * x364 + x365 && x367 < -10 && -3 * x364 + -1 * x365 + x366 <= -29 && x367 + -2 * x366 = -5 && x364 + x365 >= 4 && x365 < -10 && x364 > 6 && x366 < -10 && x364 + -1 * x365 >= 29 && x366 + -2 * x365 = -5 && x337 + -1 * x374 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -9 * x375 + -3 * x376 + -1 * x377 = 0 && x378 < -10 && x379 + x378 >= 4 && x379 > 6 && x380 < -10 && x379 + -1 * x378 >= 29 && x380 + -2 * x378 = -5 && 4 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + x338 && 7 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 && x339 < -10 && 29 <= 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + -1 * x338 && x339 + -2 * x338 = -5 && 2187 * x330 + 729 * x331 + 243 * x332 + 81 * x333 + 27 * x334 + 9 * x335 + 3 * x336 + x337 + -3 * x379 + -1 * x378 = 0 && x338 + -1 * x380 = 0 && x381 + x382 >= 4 && x382 < -10 && x381 > 6 && x383 < -10 && x381 + -1 * x382 >= 29 && x383 + -2 * x382 = -5 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + x337 >= 4 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 >= 7 && x338 < -10 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -1 * x337 >= 29 && x338 + -2 * x337 = -5 && x337 + -1 * x383 = 0 && 729 * x330 + 243 * x331 + 81 * x332 + 27 * x333 + 9 * x334 + 3 * x335 + x336 + -3 * x381 + -1 * x382 = 0 && 4 <= 3 * x375 + x376 + x377 && 7 <= 3 * x375 + x376 && x374 < -10 && -3 * x375 + -1 * x376 + x377 <= -29 && x374 + -2 * x377 = -5 && x375 + x376 >= 4 && x376 < -10 && x375 > 6 && x377 < -10 && x377 + -2 * x376 = -5 && x375 + -1 * x376 >= 29 && 81 * x330 + 27 * x331 + 9 * x332 + 3 * x333 + x334 + -81 * x358 + -27 * x359 + -9 * x360 + -3 * x361 + -1 * x362 = 0 && x335 + -1 * x363 = 0 && 4 <= 3 * x384 + x385 + x386 && 7 <= 3 * x384 + x385 && x387 < -10 && -3 * x384 + -1 * x385 + x386 <= -29 && x387 + -2 * x386 = -5 && x384 + x385 >= 4 && x385 < -10 && x384 > 6 && x386 < -10 && x384 + -1 * x385 >= 29 && x386 + -2 * x385 = -5 && 4 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 + x388 && 7 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 && x389 < -10 && 29 <= 27 * x384 + 9 * x385 + 3 * x386 + x387 + -1 * x388 && x389 + -2 * x388 = -5 && 9 * x384 + 3 * x385 + x386 + x387 >= 4 && 9 * x384 + 3 * x385 + x386 >= 7 && x388 < -10 && 9 * x384 + 3 * x385 + x386 + -1 * x387 >= 29 && x388 + -2 * x387 = -5 && x330 + -9 * x390 + -3 * x391 + -1 * x392 = 0 && x331 + -1 * x393 = 0 && x394 < -10 && x395 + x394 >= 4 && x395 > 6 && x396 < -10 && x395 + -1 * x394 >= 29 && x396 + -2 * x394 = -5 && 4 <= 3 * x330 + x331 + x332 && 7 <= 3 * x330 + x331 && x333 < -10 && -3 * x330 + -1 * x331 + x332 <= -29 && x333 + -2 * x332 = -5 && 3 * x330 + x331 + -3 * x395 + -1 * x394 = 0 && x332 + -1 * x396 = 0 && x397 + x398 >= 4 && x398 < -10 && x397 > 6 && x399 < -10 && x397 + -1 * x398 >= 29 && x399 + -2 * x398 = -5 && x330 + x331 >= 4 && x331 < -10 && x330 > 6 && x332 < -10 && x330 + -1 * x331 >= 29 && x332 + -2 * x331 = -5 && x331 + -1 * x399 = 0 && x330 + -3 * x397 + -1 * x398 = 0 && 4 <= 3 * x390 + x391 + x392 && 7 <= 3 * x390 + x391 && x393 < -10 && -3 * x390 + -1 * x391 + x392 <= -29 && x393 + -2 * x392 = -5 && x390 + x391 >= 4 && x391 < -10 && x390 > 6 && x392 < -10 && x390 + -1 * x391 >= 29 && x392 + -2 * x391 = -5 && x333 + -1 * x400 = 0 && 9 * x330 + 3 * x331 + x332 + -9 * x401 + -3 * x402 + -1 * x403 = 0 && x404 < -10 && x405 + x404 >= 4 && x405 > 6 && x406 < -10 && x405 + -1 * x404 >= 29 && x406 + -2 * x404 = -5 && 4 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 + x334 && 7 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 && x335 < -10 && 29 <= 27 * x330 + 9 * x331 + 3 * x332 + x333 + -1 * x334 && x335 + -2 * x334 = -5 && 27 * x330 + 9 * x331 + 3 * x332 + x333 + -3 * x405 + -1 * x404 = 0 && x334 + -1 * x406 = 0 && x407 + x408 >= 4 && x408 < -10 && x407 > 6 && x409 < -10 && x407 + -1 * x408 >= 29 && x409 + -2 * x408 = -5 && 9 * x330 + 3 * x331 + x332 + x333 >= 4 && 9 * x330 + 3 * x331 + x332 >= 7 && x334 < -10 && 9 * x330 + 3 * x331 + x332 + -1 * x333 >= 29 && x334 + -2 * x333 = -5 && x333 + -1 * x409 = 0 && 9 * x330 + 3 * x331 + x332 + -3 * x407 + -1 * x408 = 0 && 4 <= 3 * x401 + x402 + x403 && 7 <= 3 * x401 + x402 && x400 < -10 && -3 * x401 + -1 * x402 + x403 <= -29 && x400 + -2 * x403 = -5 && x401 + x402 >= 4 && x402 < -10 && x401 > 6 && x403 < -10 && x403 + -2 * x402 = -5 && x401 + -1 * x402 >= 29 && x331 + -1 * x389 = 0 && x330 + -81 * x384 + -27 * x385 + -9 * x386 + -3 * x387 + -1 * x388 = 0)) && 4 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 + x355 && 7 <= 243 * x349 + 81 * x350 + 27 * x351 + 9 * x352 + 3 * x353 + x354 && x356 < -10 && -29 >= -243 * x349 + -81 * x350 + -27 * x351 + -9 * x352 + -3 * x353 + -1 * x354 + x355 && x356 + -2 * x355 = -5 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 + x354 >= 4 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 >= 7 && x355 < -10 && 81 * x349 + 27 * x350 + 9 * x351 + 3 * x352 + x353 + -1 * x354 >= 29 && x355 + -2 * x354 = -5 && 4 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 + x357 && 7 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 && x348 < -10 && 29 <= 2187 * x349 + 729 * x350 + 243 * x351 + 81 * x352 + 27 * x353 + 9 * x354 + 3 * x355 + x356 + -1 * x357 && x348 + -2 * x357 = -5 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 + x356 >= 4 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 >= 7 && x357 < -10 && 729 * x349 + 243 * x350 + 81 * x351 + 27 * x352 + 9 * x353 + 3 * x354 + x355 + -1 * x356 >= 29 && x357 + -2 * x356 = -5 && 4 <= 3 * x349 + x350 + x351 && 7 <= 3 * x349 + x350 && x352 < -10 && -3 * x349 + -1 * x350 + x351 <= -29 && x352 + -2 * x351 = -5 && x349 + x350 >= 4 && x350 < -10 && x349 > 6 && x351 < -10 && x349 + -1 * x350 >= 29 && x351 + -2 * x350 = -5 && 4 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 + x353 && 7 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 && x354 < -10 && 29 <= 27 * x349 + 9 * x350 + 3 * x351 + x352 + -1 * x353 && x354 + -2 * x353 = -5 && 9 * x349 + 3 * x350 + x351 + x352 >= 4 && 9 * x349 + 3 * x350 + x351 >= 7 && x353 < -10 && 9 * x349 + 3 * x350 + x351 + -1 * x352 >= 29 && x353 + -2 * x352 = -5 && (x339 = x410 && (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 = 6561 * x411 + 2187 * x412 + 729 * x413 + 243 * x414 + 81 * x415 + 27 * x416 + 9 * x417 + 3 * x418 + x419 && (7 <= 3 * x420 + x421 && 4 <= 3 * x420 + x421 + x422 && x423 < -10 && -3 * x420 + -1 * x421 + x422 <= -29 && x423 + -2 * x422 = -5 && x420 + x421 >= 4 && x421 < -10 && x420 > 6 && x422 < -10 && x420 + -1 * x421 >= 29 && x422 + -2 * x421 = -5 && 4 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 + x424 && 7 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 && x425 < -10 && 29 <= 27 * x420 + 9 * x421 + 3 * x422 + x423 + -1 * x424 && x425 + -2 * x424 = -5 && 9 * x420 + 3 * x421 + x422 + x423 >= 4 && 9 * x420 + 3 * x421 + x422 >= 7 && x424 < -10 && 9 * x420 + 3 * x421 + x422 + -1 * x423 >= 29 && x424 + -2 * x423 = -5 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -9 * x426 + -3 * x427 + -1 * x428 = 0 && x343 + -1 * x429 = 0 && x430 < -10 && x431 + x430 >= 4 && x431 > 6 && x432 < -10 && x431 + -1 * x430 >= 29 && x432 + -2 * x430 = -5 && 4 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + x344 && 7 <= 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 && x345 < -10 && -29 >= -243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + -81 * x339 + -27 * x340 + -9 * x341 + -3 * x342 + -1 * x343 + x344 && x345 + -2 * x344 = -5 && 243 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 81 * x339 + 27 * x340 + 9 * x341 + 3 * x342 + x343 + -3 * x431 + -1 * x430 = 0 && x344 + -1 * x432 = 0 && x433 + x434 >= 4 && x434 < -10 && x433 > 6 && x435 < -10 && x433 + -1 * x434 >= 29 && x435 + -2 * x434 = -5 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + x343 >= 4 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 >= 7 && x344 < -10 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -1 * x343 >= 29 && x344 + -2 * x343 = -5 && x343 + -1 * x435 = 0 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -3 * x433 + -1 * x434 = 0 && 4 <= 3 * x426 + x427 + x428 && 7 <= 3 * x426 + x427 && x429 < -10 && -3 * x426 + -1 * x427 + x428 <= -29 && x429 + -2 * x428 = -5 && x426 + x427 >= 4 && x427 < -10 && x426 > 6 && x428 < -10 && x426 + -1 * x427 >= 29 && x428 + -2 * x427 = -5 && x345 + -1 * x436 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -9 * x437 + -3 * x438 + -1 * x439 = 0 && x440 < -10 && x441 + x440 >= 4 && x441 > 6 && x442 < -10 && x441 + -1 * x440 >= 29 && x442 + -2 * x440 = -5 && 4 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + x346 && 7 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 && x347 < -10 && 29 <= 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + -1 * x346 && x347 + -2 * x346 = -5 && 2187 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 729 * x339 + 243 * x340 + 81 * x341 + 27 * x342 + 9 * x343 + 3 * x344 + x345 + -3 * x441 + -1 * x440 = 0 && x346 + -1 * x442 = 0 && x443 + x444 >= 4 && x444 < -10 && x443 > 6 && x445 < -10 && x443 + -1 * x444 >= 29 && x445 + -2 * x444 = -5 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + x345 >= 4 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 >= 7 && x346 < -10 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -1 * x345 >= 29 && x346 + -2 * x345 = -5 && x345 + -1 * x445 = 0 && 729 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 243 * x339 + 81 * x340 + 27 * x341 + 9 * x342 + 3 * x343 + x344 + -3 * x443 + -1 * x444 = 0 && 4 <= 3 * x437 + x438 + x439 && 7 <= 3 * x437 + x438 && x436 < -10 && -3 * x437 + -1 * x438 + x439 <= -29 && x436 + -2 * x439 = -5 && x437 + x438 >= 4 && x438 < -10 && x437 > 6 && x439 < -10 && x439 + -2 * x438 = -5 && x437 + -1 * x438 >= 29 && 81 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 27 * x339 + 9 * x340 + 3 * x341 + x342 + -81 * x420 + -27 * x421 + -9 * x422 + -3 * x423 + -1 * x424 = 0 && x343 + -1 * x425 = 0 && 4 <= 3 * x446 + x447 + x448 && 7 <= 3 * x446 + x447 && x449 < -10 && -3 * x446 + -1 * x447 + x448 <= -29 && x449 + -2 * x448 = -5 && x446 + x447 >= 4 && x447 < -10 && x446 > 6 && x448 < -10 && x446 + -1 * x447 >= 29 && x448 + -2 * x447 = -5 && 4 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 + x450 && 7 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 && x451 < -10 && 29 <= 27 * x446 + 9 * x447 + 3 * x448 + x449 + -1 * x450 && x451 + -2 * x450 = -5 && 9 * x446 + 3 * x447 + x448 + x449 >= 4 && 9 * x446 + 3 * x447 + x448 >= 7 && x450 < -10 && 9 * x446 + 3 * x447 + x448 + -1 * x449 >= 29 && x450 + -2 * x449 = -5 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -9 * x452 + -3 * x453 + -1 * x454 = 0 && x339 + -1 * x455 = 0 && x456 < -10 && x457 + x456 >= 4 && x457 > 6 && x458 < -10 && x457 + -1 * x456 >= 29 && x458 + -2 * x456 = -5 && 4 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + x340 && 7 <= 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 && x341 < -10 && -3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + -1 * x339 + x340 <= -29 && x341 + -2 * x340 = -5 && 3 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + x339 + -3 * x457 + -1 * x456 = 0 && x340 + -1 * x458 = 0 && x459 + x460 >= 4 && x460 < -10 && x459 > 6 && x461 < -10 && x459 + -1 * x460 >= 29 && x461 + -2 * x460 = -5 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + x339 >= 4 && x339 < -10 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 > 6 && x340 < -10 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -1 * x339 >= 29 && x340 + -2 * x339 = -5 && x339 + -1 * x461 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -3 * x459 + -1 * x460 = 0 && 4 <= 3 * x452 + x453 + x454 && 7 <= 3 * x452 + x453 && x455 < -10 && -3 * x452 + -1 * x453 + x454 <= -29 && x455 + -2 * x454 = -5 && x452 + x453 >= 4 && x453 < -10 && x452 > 6 && x454 < -10 && x452 + -1 * x453 >= 29 && x454 + -2 * x453 = -5 && x341 + -1 * x462 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -9 * x463 + -3 * x464 + -1 * x465 = 0 && x466 < -10 && x467 + x466 >= 4 && x467 > 6 && x468 < -10 && x467 + -1 * x466 >= 29 && x468 + -2 * x466 = -5 && 4 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + x342 && 7 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 && x343 < -10 && 29 <= 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + -1 * x342 && x343 + -2 * x342 = -5 && 27 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 9 * x339 + 3 * x340 + x341 + -3 * x467 + -1 * x466 = 0 && x342 + -1 * x468 = 0 && x469 + x470 >= 4 && x470 < -10 && x469 > 6 && x471 < -10 && x469 + -1 * x470 >= 29 && x471 + -2 * x470 = -5 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + x341 >= 4 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 >= 7 && x342 < -10 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -1 * x341 >= 29 && x342 + -2 * x341 = -5 && x341 + -1 * x471 = 0 && 9 * (6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338) + 3 * x339 + x340 + -3 * x469 + -1 * x470 = 0 && 4 <= 3 * x463 + x464 + x465 && 7 <= 3 * x463 + x464 && x462 < -10 && -3 * x463 + -1 * x464 + x465 <= -29 && x462 + -2 * x465 = -5 && x463 + x464 >= 4 && x464 < -10 && x463 > 6 && x465 < -10 && x465 + -2 * x464 = -5 && x463 + -1 * x464 >= 29 && x339 + -1 * x451 = 0 && 6561 * x330 + 2187 * x331 + 729 * x332 + 243 * x333 + 81 * x334 + 27 * x335 + 9 * x336 + 3 * x337 + x338 + -81 * x446 + -27 * x447 + -9 * x448 + -3 * x449 + -1 * x450 = 0)) && 4 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 + x417 && 7 <= 243 * x411 + 81 * x412 + 27 * x413 + 9 * x414 + 3 * x415 + x416 && x418 < -10 && -29 >= -243 * x411 + -81 * x412 + -27 * x413 + -9 * x414 + -3 * x415 + -1 * x416 + x417 && x418 + -2 * x417 = -5 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 + x416 >= 4 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 >= 7 && x417 < -10 && 81 * x411 + 27 * x412 + 9 * x413 + 3 * x414 + x415 + -1 * x416 >= 29 && x417 + -2 * x416 = -5 && 4 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 + x419 && 7 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 && x410 < -10 && 29 <= 2187 * x411 + 729 * x412 + 243 * x413 + 81 * x414 + 27 * x415 + 9 * x416 + 3 * x417 + x418 + -1 * x419 && x410 + -2 * x419 = -5 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 + x418 >= 4 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 >= 7 && x419 < -10 && 729 * x411 + 243 * x412 + 81 * x413 + 27 * x414 + 9 * x415 + 3 * x416 + x417 + -1 * x418 >= 29 && x419 + -2 * x418 = -5 && 4 <= 3 * x411 + x412 + x413 && 7 <= 3 * x411 + x412 && x414 < -10 && -3 * x411 + -1 * x412 + x413 <= -29 && x414 + -2 * x413 = -5 && x411 + x412 >= 4 && x412 < -10 && x411 > 6 && x413 < -10 && x411 + -1 * x412 >= 29 && x413 + -2 * x412 = -5 && 4 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 + x415 && 7 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 && x416 < -10 && 29 <= 27 * x411 + 9 * x412 + 3 * x413 + x414 + -1 * x415 && x416 + -2 * x415 = -5 && 9 * x411 + 3 * x412 + x413 + x414 >= 4 && 9 * x411 + 3 * x412 + x413 >= 7 && x415 < -10 && 9 * x411 + 3 * x412 + x413 + -1 * x414 >= 29 && x415 + -2 * x414 = -5)

(90) Obligation:

Rules:
f_131(x472, x473) → f_131(43046721 * x472 + 14348907 * x473 + 4782969 * x474 + 1594323 * x475 + 531441 * x476 + 177147 * x477 + 59049 * x478 + 19683 * x479 + 6561 * x480 + 2187 * x481 + 729 * x482 + 243 * x483 + 81 * x484 + 27 * x485 + 9 * x486 + 3 * x487 + x488, x489) :|: TRUE && x473 + -1 * x490 = 0 && x472 + -6561 * x491 + -2187 * x492 + -729 * x493 + -243 * x494 + -81 * x495 + -27 * x496 + -9 * x497 + -3 * x498 + -1 * x499 = 0 && -3 * x500 + -1 * x501 <= -7 && -3 * x500 + -1 * x501 + -1 * x502 <= -4 && x503 <= -11 && -3 * x500 + -1 * x501 + x502 <= -29 && x503 + -2 * x502 = -5 && x500 + x501 >= 4 && x501 <= -11 && x500 >= 7 && x502 <= -11 && x500 + -1 * x501 >= 29 && x502 + -2 * x501 = -5 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 + -1 * x504 <= -4 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 <= -7 && x505 <= -11 && -27 * x500 + -9 * x501 + -3 * x502 + -1 * x503 + x504 <= -29 && x505 + -2 * x504 = -5 && 9 * x500 + 3 * x501 + x502 + x503 >= 4 && 9 * x500 + 3 * x501 + x502 >= 7 && x504 <= -11 && 9 * x500 + 3 * x501 + x502 + -1 * x503 >= 29 && x504 + -2 * x503 = -5 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -9 * x506 + -3 * x507 + -1 * x508 = 0 && x477 + -1 * x509 = 0 && x510 <= -11 && x511 + x510 >= 4 && x511 >= 7 && x512 <= -11 && x511 + -1 * x510 >= 29 && x512 + -2 * x510 = -5 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 + -1 * x478 <= -4 && -243 * x472 + -81 * x473 + -27 * x474 + -9 * x475 + -3 * x476 + -1 * x477 <= -7 && x479 <= -11 && 243 * x472 + 81 * x473 + 27 * x474 + 9 * x475 + 3 * x476 + x477 + -1 * x478 >= 29 && x479 + -2 * x478 = -5 && 243 * x472 + 81 * x473 + 27 * x474 + 9 * x475 + 3 * x476 + x477 + -3 * x511 + -1 * x510 = 0 && x478 + -1 * x512 = 0 && x513 + x514 >= 4 && x514 <= -11 && x513 >= 7 && x515 <= -11 && x513 + -1 * x514 >= 29 && x515 + -2 * x514 = -5 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + x477 >= 4 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 >= 7 && x478 <= -11 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -1 * x477 >= 29 && x478 + -2 * x477 = -5 && x477 + -1 * x515 = 0 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -3 * x513 + -1 * x514 = 0 && -3 * x506 + -1 * x507 + -1 * x508 <= -4 && -3 * x506 + -1 * x507 <= -7 && x509 <= -11 && -3 * x506 + -1 * x507 + x508 <= -29 && x509 + -2 * x508 = -5 && x506 + x507 >= 4 && x507 <= -11 && x506 >= 7 && x508 <= -11 && x506 + -1 * x507 >= 29 && x508 + -2 * x507 = -5 && x479 + -1 * x516 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -9 * x517 + -3 * x518 + -1 * x519 = 0 && x520 <= -11 && x521 + x520 >= 4 && x521 >= 7 && x522 <= -11 && x521 + -1 * x520 >= 29 && x522 + -2 * x520 = -5 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 + -1 * x480 <= -4 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 <= -7 && x481 <= -11 && -2187 * x472 + -729 * x473 + -243 * x474 + -81 * x475 + -27 * x476 + -9 * x477 + -3 * x478 + -1 * x479 + x480 <= -29 && x481 + -2 * x480 = -5 && 2187 * x472 + 729 * x473 + 243 * x474 + 81 * x475 + 27 * x476 + 9 * x477 + 3 * x478 + x479 + -3 * x521 + -1 * x520 = 0 && x480 + -1 * x522 = 0 && x523 + x524 >= 4 && x524 <= -11 && x523 >= 7 && x525 <= -11 && x523 + -1 * x524 >= 29 && x525 + -2 * x524 = -5 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + x479 >= 4 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 >= 7 && x480 <= -11 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -1 * x479 >= 29 && x480 + -2 * x479 = -5 && x479 + -1 * x525 = 0 && 729 * x472 + 243 * x473 + 81 * x474 + 27 * x475 + 9 * x476 + 3 * x477 + x478 + -3 * x523 + -1 * x524 = 0 && -3 * x517 + -1 * x518 + -1 * x519 <= -4 && -3 * x517 + -1 * x518 <= -7 && x516 <= -11 && -3 * x517 + -1 * x518 + x519 <= -29 && x516 + -2 * x519 = -5 && x517 + x518 >= 4 && x518 <= -11 && x517 >= 7 && x519 <= -11 && x519 + -2 * x518 = -5 && x517 + -1 * x518 >= 29 && 81 * x472 + 27 * x473 + 9 * x474 + 3 * x475 + x476 + -81 * x500 + -27 * x501 + -9 * x502 + -3 * x503 + -1 * x504 = 0 && x477 + -1 * x505 = 0 && -3 * x526 + -1 * x527 + -1 * x528 <= -4 && -3 * x526 + -1 * x527 <= -7 && x529 <= -11 && -3 * x526 + -1 * x527 + x528 <= -29 && x529 + -2 * x528 = -5 && x526 + x527 >= 4 && x527 <= -11 && x526 >= 7 && x528 <= -11 && x526 + -1 * x527 >= 29 && x528 + -2 * x527 = -5 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 + -1 * x530 <= -4 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 <= -7 && x531 <= -11 && -27 * x526 + -9 * x527 + -3 * x528 + -1 * x529 + x530 <= -29 && x531 + -2 * x530 = -5 && 9 * x526 + 3 * x527 + x528 + x529 >= 4 && 9 * x526 + 3 * x527 + x528 >= 7 && x530 <= -11 && 9 * x526 + 3 * x527 + x528 + -1 * x529 >= 29 && x530 + -2 * x529 = -5 && x472 + -9 * x532 + -3 * x533 + -1 * x534 = 0 && x473 + -1 * x535 = 0 && x536 <= -11 && x537 + x536 >= 4 && x537 >= 7 && x538 <= -11 && x537 + -1 * x536 >= 29 && x538 + -2 * x536 = -5 && -3 * x472 + -1 * x473 + -1 * x474 <= -4 && -3 * x472 + -1 * x473 <= -7 && x475 <= -11 && -3 * x472 + -1 * x473 + x474 <= -29 && x475 + -2 * x474 = -5 && 3 * x472 + x473 + -3 * x537 + -1 * x536 = 0 && x474 + -1 * x538 = 0 && x539 + x540 >= 4 && x540 <= -11 && x539 >= 7 && x541 <= -11 && x539 + -1 * x540 >= 29 && x541 + -2 * x540 = -5 && x472 + x473 >= 4 && x473 <= -11 && x472 >= 7 && x474 <= -11 && x472 + -1 * x473 >= 29 && x474 + -2 * x473 = -5 && x473 + -1 * x541 = 0 && x472 + -3 * x539 + -1 * x540 = 0 && -3 * x532 + -1 * x533 + -1 * x534 <= -4 && -3 * x532 + -1 * x533 <= -7 && x535 <= -11 && -3 * x532 + -1 * x533 + x534 <= -29 && x535 + -2 * x534 = -5 && x532 + x533 >= 4 && x533 <= -11 && x532 >= 7 && x534 <= -11 && x532 + -1 * x533 >= 29 && x534 + -2 * x533 = -5 && x475 + -1 * x542 = 0 && 9 * x472 + 3 * x473 + x474 + -9 * x543 + -3 * x544 + -1 * x545 = 0 && x546 <= -11 && x547 + x546 >= 4 && x547 >= 7 && x548 <= -11 && x547 + -1 * x546 >= 29 && x548 + -2 * x546 = -5 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 + -1 * x476 <= -4 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 <= -7 && x477 <= -11 && -27 * x472 + -9 * x473 + -3 * x474 + -1 * x475 + x476 <= -29 && x477 + -2 * x476 = -5 && 27 * x472 + 9 * x473 + 3 * x474 + x475 + -3 * x547 + -1 * x546 = 0 && x476 + -1 * x548 = 0 && x549 + x550 >= 4 && x550 <= -11 && x549 >= 7 && x551 <= -11 && x549 + -1 * x550 >= 29 && x551 + -2 * x550 = -5 && 9 * x472 + 3 * x473 + x474 + x475 >= 4 && 9 * x472 + 3 * x473 + x474 >= 7 && x476 <= -11 && 9 * x472 + 3 * x473 + x474 + -1 * x475 >= 29 && x476 + -2 * x475 = -5 && x475 + -1 * x551 = 0 && 9 * x472 + 3 * x473 + x474 + -3 * x549 + -1 * x550 = 0 && -3 * x543 + -1 * x544 + -1 * x545 <= -4 && -3 * x543 + -1 * x544 <= -7 && x542 <= -11 && -3 * x543 + -1 * x544 + x545 <= -29 && x542 + -2 * x545 = -5 && x543 + x544 >= 4 && x544 <= -11 && x543 >= 7 && x545 <= -11 && x545 + -2 * x544 = -5 && x543 + -1 * x544 >= 29 && x473 + -1 * x531 = 0 && x472 + -81 * x526 + -27 * x527 + -9 * x528 + -3 * x529 + -1 * x530 = 0 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 + -1 * x497 <= -4 && -243 * x491 + -81 * x492 + -27 * x493 + -9 * x494 + -3 * x495 + -1 * x496 <= -7 && x498 <= -11 && 243 * x491 + 81 * x492 + 27 * x493 + 9 * x494 + 3 * x495 + x496 + -1 * x497 >= 29 && x498 + -2 * x497 = -5 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 + x496 >= 4 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 >= 7 && x497 <= -11 && 81 * x491 + 27 * x492 + 9 * x493 + 3 * x494 + x495 + -1 * x496 >= 29 && x497 + -2 * x496 = -5 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 + -1 * x499 <= -4 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 <= -7 && x490 <= -11 && -2187 * x491 + -729 * x492 + -243 * x493 + -81 * x494 + -27 * x495 + -9 * x496 + -3 * x497 + -1 * x498 + x499 <= -29 && x490 + -2 * x499 = -5 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 + x498 >= 4 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 >= 7 && x499 <= -11 && 729 * x491 + 243 * x492 + 81 * x493 + 27 * x494 + 9 * x495 + 3 * x496 + x497 + -1 * x498 >= 29 && x499 + -2 * x498 = -5 && -3 * x491 + -1 * x492 + -1 * x493 <= -4 && -3 * x491 + -1 * x492 <= -7 && x494 <= -11 && -3 * x491 + -1 * x492 + x493 <= -29 && x494 + -2 * x493 = -5 && x491 + x492 >= 4 && x492 <= -11 && x491 >= 7 && x493 <= -11 && x491 + -1 * x492 >= 29 && x493 + -2 * x492 = -5 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 + -1 * x495 <= -4 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 <= -7 && x496 <= -11 && -27 * x491 + -9 * x492 + -3 * x493 + -1 * x494 + x495 <= -29 && x496 + -2 * x495 = -5 && 9 * x491 + 3 * x492 + x493 + x494 >= 4 && 9 * x491 + 3 * x492 + x493 >= 7 && x495 <= -11 && 9 * x491 + 3 * x492 + x493 + -1 * x494 >= 29 && x495 + -2 * x494 = -5 && x481 + -1 * x552 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -6561 * x553 + -2187 * x554 + -729 * x555 + -243 * x556 + -81 * x557 + -27 * x558 + -9 * x559 + -3 * x560 + -1 * x561 = 0 && -3 * x562 + -1 * x563 <= -7 && -3 * x562 + -1 * x563 + -1 * x564 <= -4 && x565 <= -11 && -3 * x562 + -1 * x563 + x564 <= -29 && x565 + -2 * x564 = -5 && x562 + x563 >= 4 && x563 <= -11 && x562 >= 7 && x564 <= -11 && x562 + -1 * x563 >= 29 && x564 + -2 * x563 = -5 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 + -1 * x566 <= -4 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 <= -7 && x567 <= -11 && -27 * x562 + -9 * x563 + -3 * x564 + -1 * x565 + x566 <= -29 && x567 + -2 * x566 = -5 && 9 * x562 + 3 * x563 + x564 + x565 >= 4 && 9 * x562 + 3 * x563 + x564 >= 7 && x566 <= -11 && 9 * x562 + 3 * x563 + x564 + -1 * x565 >= 29 && x566 + -2 * x565 = -5 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -9 * x568 + -3 * x569 + -1 * x570 = 0 && x485 + -1 * x571 = 0 && x572 <= -11 && x573 + x572 >= 4 && x573 >= 7 && x574 <= -11 && x573 + -1 * x572 >= 29 && x574 + -2 * x572 = -5 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 + -1 * x486 <= -4 && -1594323 * x472 + -531441 * x473 + -177147 * x474 + -59049 * x475 + -19683 * x476 + -6561 * x477 + -2187 * x478 + -729 * x479 + -243 * x480 + -81 * x481 + -27 * x482 + -9 * x483 + -3 * x484 + -1 * x485 <= -7 && x487 <= -11 && 1594323 * x472 + 531441 * x473 + 177147 * x474 + 59049 * x475 + 19683 * x476 + 6561 * x477 + 2187 * x478 + 729 * x479 + 243 * x480 + 81 * x481 + 27 * x482 + 9 * x483 + 3 * x484 + x485 + -1 * x486 >= 29 && x487 + -2 * x486 = -5 && 1594323 * x472 + 531441 * x473 + 177147 * x474 + 59049 * x475 + 19683 * x476 + 6561 * x477 + 2187 * x478 + 729 * x479 + 243 * x480 + 81 * x481 + 27 * x482 + 9 * x483 + 3 * x484 + x485 + -3 * x573 + -1 * x572 = 0 && x486 + -1 * x574 = 0 && x575 + x576 >= 4 && x576 <= -11 && x575 >= 7 && x577 <= -11 && x575 + -1 * x576 >= 29 && x577 + -2 * x576 = -5 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + x485 >= 4 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 >= 7 && x486 <= -11 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -1 * x485 >= 29 && x486 + -2 * x485 = -5 && x485 + -1 * x577 = 0 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -3 * x575 + -1 * x576 = 0 && -3 * x568 + -1 * x569 + -1 * x570 <= -4 && -3 * x568 + -1 * x569 <= -7 && x571 <= -11 && -3 * x568 + -1 * x569 + x570 <= -29 && x571 + -2 * x570 = -5 && x568 + x569 >= 4 && x569 <= -11 && x568 >= 7 && x570 <= -11 && x568 + -1 * x569 >= 29 && x570 + -2 * x569 = -5 && x487 + -1 * x578 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -9 * x579 + -3 * x580 + -1 * x581 = 0 && x582 <= -11 && x583 + x582 >= 4 && x583 >= 7 && x584 <= -11 && x583 + -1 * x582 >= 29 && x584 + -2 * x582 = -5 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 + -1 * x488 <= -4 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 <= -7 && x489 <= -11 && -14348907 * x472 + -4782969 * x473 + -1594323 * x474 + -531441 * x475 + -177147 * x476 + -59049 * x477 + -19683 * x478 + -6561 * x479 + -2187 * x480 + -729 * x481 + -243 * x482 + -81 * x483 + -27 * x484 + -9 * x485 + -3 * x486 + -1 * x487 + x488 <= -29 && x489 + -2 * x488 = -5 && 14348907 * x472 + 4782969 * x473 + 1594323 * x474 + 531441 * x475 + 177147 * x476 + 59049 * x477 + 19683 * x478 + 6561 * x479 + 2187 * x480 + 729 * x481 + 243 * x482 + 81 * x483 + 27 * x484 + 9 * x485 + 3 * x486 + x487 + -3 * x583 + -1 * x582 = 0 && x488 + -1 * x584 = 0 && x585 + x586 >= 4 && x586 <= -11 && x585 >= 7 && x587 <= -11 && x585 + -1 * x586 >= 29 && x587 + -2 * x586 = -5 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + x487 >= 4 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 >= 7 && x488 <= -11 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -1 * x487 >= 29 && x488 + -2 * x487 = -5 && x487 + -1 * x587 = 0 && 4782969 * x472 + 1594323 * x473 + 531441 * x474 + 177147 * x475 + 59049 * x476 + 19683 * x477 + 6561 * x478 + 2187 * x479 + 729 * x480 + 243 * x481 + 81 * x482 + 27 * x483 + 9 * x484 + 3 * x485 + x486 + -3 * x585 + -1 * x586 = 0 && -3 * x579 + -1 * x580 + -1 * x581 <= -4 && -3 * x579 + -1 * x580 <= -7 && x578 <= -11 && -3 * x579 + -1 * x580 + x581 <= -29 && x578 + -2 * x581 = -5 && x579 + x580 >= 4 && x580 <= -11 && x579 >= 7 && x581 <= -11 && x581 + -2 * x580 = -5 && x579 + -1 * x580 >= 29 && 531441 * x472 + 177147 * x473 + 59049 * x474 + 19683 * x475 + 6561 * x476 + 2187 * x477 + 729 * x478 + 243 * x479 + 81 * x480 + 27 * x481 + 9 * x482 + 3 * x483 + x484 + -81 * x562 + -27 * x563 + -9 * x564 + -3 * x565 + -1 * x566 = 0 && x485 + -1 * x567 = 0 && -3 * x588 + -1 * x589 + -1 * x590 <= -4 && -3 * x588 + -1 * x589 <= -7 && x591 <= -11 && -3 * x588 + -1 * x589 + x590 <= -29 && x591 + -2 * x590 = -5 && x588 + x589 >= 4 && x589 <= -11 && x588 >= 7 && x590 <= -11 && x588 + -1 * x589 >= 29 && x590 + -2 * x589 = -5 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 + -1 * x592 <= -4 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 <= -7 && x593 <= -11 && -27 * x588 + -9 * x589 + -3 * x590 + -1 * x591 + x592 <= -29 && x593 + -2 * x592 = -5 && 9 * x588 + 3 * x589 + x590 + x591 >= 4 && 9 * x588 + 3 * x589 + x590 >= 7 && x592 <= -11 && 9 * x588 + 3 * x589 + x590 + -1 * x591 >= 29 && x592 + -2 * x591 = -5 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -9 * x594 + -3 * x595 + -1 * x596 = 0 && x481 + -1 * x597 = 0 && x598 <= -11 && x599 + x598 >= 4 && x599 >= 7 && x600 <= -11 && x599 + -1 * x598 >= 29 && x600 + -2 * x598 = -5 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 + -1 * x482 <= -4 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 <= -7 && x483 <= -11 && -19683 * x472 + -6561 * x473 + -2187 * x474 + -729 * x475 + -243 * x476 + -81 * x477 + -27 * x478 + -9 * x479 + -3 * x480 + -1 * x481 + x482 <= -29 && x483 + -2 * x482 = -5 && 19683 * x472 + 6561 * x473 + 2187 * x474 + 729 * x475 + 243 * x476 + 81 * x477 + 27 * x478 + 9 * x479 + 3 * x480 + x481 + -3 * x599 + -1 * x598 = 0 && x482 + -1 * x600 = 0 && x601 + x602 >= 4 && x602 <= -11 && x601 >= 7 && x603 <= -11 && x601 + -1 * x602 >= 29 && x603 + -2 * x602 = -5 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + x481 >= 4 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 >= 7 && x482 <= -11 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -1 * x481 >= 29 && x482 + -2 * x481 = -5 && x481 + -1 * x603 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -3 * x601 + -1 * x602 = 0 && -3 * x594 + -1 * x595 + -1 * x596 <= -4 && -3 * x594 + -1 * x595 <= -7 && x597 <= -11 && -3 * x594 + -1 * x595 + x596 <= -29 && x597 + -2 * x596 = -5 && x594 + x595 >= 4 && x595 <= -11 && x594 >= 7 && x596 <= -11 && x594 + -1 * x595 >= 29 && x596 + -2 * x595 = -5 && x483 + -1 * x604 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -9 * x605 + -3 * x606 + -1 * x607 = 0 && x608 <= -11 && x609 + x608 >= 4 && x609 >= 7 && x610 <= -11 && x609 + -1 * x608 >= 29 && x610 + -2 * x608 = -5 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 + -1 * x484 <= -4 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 <= -7 && x485 <= -11 && -177147 * x472 + -59049 * x473 + -19683 * x474 + -6561 * x475 + -2187 * x476 + -729 * x477 + -243 * x478 + -81 * x479 + -27 * x480 + -9 * x481 + -3 * x482 + -1 * x483 + x484 <= -29 && x485 + -2 * x484 = -5 && 177147 * x472 + 59049 * x473 + 19683 * x474 + 6561 * x475 + 2187 * x476 + 729 * x477 + 243 * x478 + 81 * x479 + 27 * x480 + 9 * x481 + 3 * x482 + x483 + -3 * x609 + -1 * x608 = 0 && x484 + -1 * x610 = 0 && x611 + x612 >= 4 && x612 <= -11 && x611 >= 7 && x613 <= -11 && x611 + -1 * x612 >= 29 && x613 + -2 * x612 = -5 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + x483 >= 4 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 >= 7 && x484 <= -11 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -1 * x483 >= 29 && x484 + -2 * x483 = -5 && x483 + -1 * x613 = 0 && 59049 * x472 + 19683 * x473 + 6561 * x474 + 2187 * x475 + 729 * x476 + 243 * x477 + 81 * x478 + 27 * x479 + 9 * x480 + 3 * x481 + x482 + -3 * x611 + -1 * x612 = 0 && -3 * x605 + -1 * x606 + -1 * x607 <= -4 && -3 * x605 + -1 * x606 <= -7 && x604 <= -11 && -3 * x605 + -1 * x606 + x607 <= -29 && x604 + -2 * x607 = -5 && x605 + x606 >= 4 && x606 <= -11 && x605 >= 7 && x607 <= -11 && x607 + -2 * x606 = -5 && x605 + -1 * x606 >= 29 && x481 + -1 * x593 = 0 && 6561 * x472 + 2187 * x473 + 729 * x474 + 243 * x475 + 81 * x476 + 27 * x477 + 9 * x478 + 3 * x479 + x480 + -81 * x588 + -27 * x589 + -9 * x590 + -3 * x591 + -1 * x592 = 0 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 + -1 * x559 <= -4 && -243 * x553 + -81 * x554 + -27 * x555 + -9 * x556 + -3 * x557 + -1 * x558 <= -7 && x560 <= -11 && 243 * x553 + 81 * x554 + 27 * x555 + 9 * x556 + 3 * x557 + x558 + -1 * x559 >= 29 && x560 + -2 * x559 = -5 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 + x558 >= 4 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 >= 7 && x559 <= -11 && 81 * x553 + 27 * x554 + 9 * x555 + 3 * x556 + x557 + -1 * x558 >= 29 && x559 + -2 * x558 = -5 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 + -1 * x561 <= -4 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 <= -7 && x552 <= -11 && -2187 * x553 + -729 * x554 + -243 * x555 + -81 * x556 + -27 * x557 + -9 * x558 + -3 * x559 + -1 * x560 + x561 <= -29 && x552 + -2 * x561 = -5 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 + x560 >= 4 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 >= 7 && x561 <= -11 && 729 * x553 + 243 * x554 + 81 * x555 + 27 * x556 + 9 * x557 + 3 * x558 + x559 + -1 * x560 >= 29 && x561 + -2 * x560 = -5 && -3 * x553 + -1 * x554 + -1 * x555 <= -4 && -3 * x553 + -1 * x554 <= -7 && x556 <= -11 && -3 * x553 + -1 * x554 + x555 <= -29 && x556 + -2 * x555 = -5 && x553 + x554 >= 4 && x554 <= -11 && x553 >= 7 && x555 <= -11 && x553 + -1 * x554 >= 29 && x555 + -2 * x554 = -5 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 + -1 * x557 <= -4 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 <= -7 && x558 <= -11 && -27 * x553 + -9 * x554 + -3 * x555 + -1 * x556 + x557 <= -29 && x558 + -2 * x557 = -5 && 9 * x553 + 3 * x554 + x555 + x556 >= 4 && 9 * x553 + 3 * x554 + x555 >= 7 && x557 <= -11 && 9 * x553 + 3 * x554 + x555 + -1 * x556 >= 29 && x557 + -2 * x556 = -5

(91) Obligation:

Rules:
f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 <= -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0 && -29 + v91:0:0:0 + -1 * v93:0:0:0 < 0

(92) TerminationGraphProcessor (EQUIVALENT transformation)

Constructed the termination graph and obtained no non-trivial SCC(s).

(93) YES

(94) Obligation:

Rules:
f_131(v91:0:0, v93:0:0) → f_131(3 * v91:0:0 + v93:0:0, v103:0:0) :|: 5 + v103:0:0 = 2 * v93:0:0 && v103:0:0 < -10 && 3 * v91:0:0 > 20 && v91:0:0 > 6 && v91:0:0 + v93:0:0 > 3 && -22 + -2 * v93:0:0 < 0

(95) IntTRSCompressionProof (EQUIVALENT transformation)

Compressed rules.

(96) Obligation:

Rules:
f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 > -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0

(97) RankingReductionPairProof (EQUIVALENT transformation)

Interpretation:

[ f_131 ] = 1/8·f131_2

The following rules are decreasing:

f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 > -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0

The following rules are bounded:

f_131(v91:0:0:0, v93:0:0:0) → f_131(3 * v91:0:0:0 + v93:0:0:0, v103:0:0:0) :|: v91:0:0:0 + v93:0:0:0 > 3 && 22 > -2 * v93:0:0:0 && v91:0:0:0 > 6 && 3 * v91:0:0:0 > 20 && v103:0:0:0 < -10 && 5 + v103:0:0:0 = 2 * v93:0:0:0

(98) YES

(99) SEGraph to IRS (SOUND transformation)

Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log:
Generated rules. Obtained 51 rules
P rules:
f_25f_26(v1, v2, 3, 4, 0, 1) :|: 1 <= v1 && v2 = 3 + v1 && v1 % 4 = 0 && 4 <= v2
f_26(v1, v2, 3, 4, 0, 1) → f_27(v1, v3, v2, v4, 3, 4, 0, 1) :|: 1 <= v3 && v4 = 3 + v3 && v3 % 4 = 0 && 4 <= v4
f_27(v1, v3, v2, v4, 3, 4, 0, 1) → f_28(v1, v3, v5, v2, v4, v6, 3, 4, 0, 1) :|: 1 <= v5 && v6 = 3 + v5 && v5 % 4 = 0 && 4 <= v6
f_28(v1, v3, v5, v2, v4, v6, 3, 4, 0, 1) → f_29(v1, v3, v5, v2, v4, v6, 0, 3, 4, 1) :|: TRUE
f_29(v1, v3, v5, v2, v4, v6, 0, 3, 4, 1) → f_30(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) :|: TRUE
f_30(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) → f_31(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) :|: TRUE
f_31(v1, v3, v5, v2, v4, v6, 0, 1, 3, 4) → f_32(v1, v3, v5, v7, v2, v4, v6, 0, 1, 3, 4) :|: TRUE
f_32(v1, v3, v5, v7, v2, v4, v6, 0, 1, 3, 4) → f_33(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_33(v1, v3, v5, v7, 1, v2, v4, v6, 0, 3, 4) → f_34(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: v9 = 1 + v7
f_34(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_35(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: 4 <= v9 && 3 <= v7
f_34(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_36(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4, 2) :|: v9 < 4 && v7 <= 2
f_35(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_37(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_36(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4, 2) → f_38(v1, v3, v5, v7, 1, v9, 0, v2, v4, v6, 3, 4, 2) :|: 0 = 0
f_37(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_39(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: TRUE
f_38(v1, v3, v5, v7, 1, v9, 0, v2, v4, v6, 3, 4, 2) → f_40(v1, v3, v5, v7, 1, v9, 0, v2, v4, v6, 3, 4, 2) :|: TRUE
f_39(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_41(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) :|: 0 = 0
f_40(v1, v3, v5, v7, 1, v9, 0, v2, v4, v6, 3, 4, 2) → f_42(v1, v3, v5, v7, 1, v9, 0, v2, v4, v6, 3, 4, 2) :|: 0 = 0
f_41(v1, v3, v5, v7, 1, v9, v2, v4, v6, 0, 3, 4) → f_43(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) :|: v10 = 3 * v7 && 9 <= v10
f_43(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) → f_44(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) :|: 0 = 0
f_44(v1, v3, v5, v7, 1, v9, v10, v2, v4, v6, 0, 3, 4, 9) → f_45(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) :|: v11 = 1 + v10 && 10 <= v11
f_45(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) → f_46(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) :|: TRUE
f_46(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) → f_47(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) :|: 0 = 0
f_47(v1, v3, v5, v7, 1, v9, v10, v11, v2, v4, v6, 0, 3, 4, 9, 10) → f_48(v1, v3, v5, v7, 1, v9, v10, v11, 2, v2, v4, v6, 0, 3, 4, 9, 10) :|: 0 = 0
f_48(v1, v3, v5, v7, 1, v9, v10, v11, 2, v2, v4, v6, 0, 3, 4, 9, 10) → f_49(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) :|: 0 = 0
f_49(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) → f_50(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) :|: TRUE
f_50(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) → f_51(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) :|: TRUE
f_51(v1, v3, v5, v7, 1, v9, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 9, 10) → f_67(v1, v3, v5, v7, 1, v9, 1, v10, v11, 2, -3, v2, v4, v6, 0, 3, 4, 2, 5, 9, 10, 6, 11) :|: TRUE
f_67(v17, v18, v19, v20, v21, v22, 1, v24, v25, v26, v27, v28, v29, v30, 0, 3, 4, 2, 5, 9, 10, 6, 11) → f_88(v17, v18, v19, v20, v21, v22, 1, v24, v25, v26, v27, v28, v29, v30, 0, 3, 4, 2, 5, 11, 9, 10, 22, 27) :|: TRUE
f_88(v39, v40, v41, v42, v43, v44, 1, v46, v47, v48, v49, v50, v51, v52, 0, 3, 4, 2, 5, 11, 9, 10, 22, 27) → f_109(v39, v40, v41, v42, v43, v44, 1, v46, v47, v48, v49, v50, v51, v52, 0, 3, 4, 2, 5, 9) :|: TRUE
f_109(v61, v62, v63, v64, v65, v66, 1, v68, v69, v70, v71, v72, v73, v74, 0, 3, 4, 2, 5, 9) → f_130(v61, v62, v63, v64, v65, v66, 1, v68, v69, v70, v71, v72, v73, v74, 0, 3, 4, 2, 5, 9) :|: TRUE
f_130(v83, v84, v85, v86, v87, v88, 1, v90, v91, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_131(v83, v84, v85, v91, v87, v88, 1, v86, v90, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: 0 = 0
f_131(v83, v84, v85, v91, v87, v88, 1, v86, v90, v92, v93, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_132(v83, v84, v85, v91, v93, v88, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: 0 = 0
f_132(v83, v84, v85, v91, v93, v88, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, 9) → f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) :|: v98 = v91 + v93
f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) → f_134(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: 4 <= v98 && 7 <= v91
f_133(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) → f_135(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) :|: v98 < 4
f_134(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_136(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: 0 = 0
f_135(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9) → f_137(v83, v84, v85, v91, v93, v98, 0, v86, v90, v87, v92, v94, v95, v96, 3, 4, 2, 5, 1, v88, 9) :|: 0 = 0
f_136(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_138(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) :|: TRUE
f_137(v83, v84, v85, v91, v93, v98, 0, v86, v90, v87, v92, v94, v95, v96, 3, 4, 2, 5, 1, v88, 9) → f_139(v83, v84, v85, v91, v93, v98, 0, v86, v90, v87, v92, v94, v95, v96, 3, 4, 2, 5, 1, v88, 9) :|: TRUE
f_138(v83, v84, v85, v91, v93, v98, 1, v86, v90, v87, v92, v94, v95, v96, 0, 3, 4, 2, 5, v88, 9, 7) → f_140(v83, v84, v85, v91, v93, v98, 1, v90, v87, v92, v94, v95, v96, 0, 3, 4, v86, 2, 5, v88, 9, 7) :|: 0 = 0
f_139(v83, v84, v85, v91, v93, v98, 0, v86, v90, v87, v92, v94, v95, v96, 3, 4, 2, 5, 1, v88, 9) → f_141(v83, v84, v85, v91, v93, v98, 0, v86, v90, v87, v92, v94, v95, v96, 3, 4, 2, 5, 1, v88, 9) :|: 0 = 0
f_140(v83, v84, v85, v91, v93, v98, 1, v90, v87, v92, v94, v95, v96, 0, 3, 4, v86, 2, 5, v88, 9, 7) → f_142(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: v99 = 3 * v91 && 21 <= v99
f_142(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_143(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: 0 = 0
f_143(v83, v84, v85, v91, v93, v98, 1, v99, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_144(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: v100 = v99 + v93
f_144(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_145(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) :|: TRUE
f_145(v83, v84, v85, v91, v93, v98, 1, v99, v100, v87, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, 5, v88, 9, 7, 21) → f_146(v83, v84, v85, v91, v93, v98, 1, v99, v100, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, v87, 5, v88, 9, 7, 21) :|: 0 = 0
f_146(v83, v84, v85, v91, v93, v98, 1, v99, v100, v92, v94, v95, v96, 0, 3, 4, v90, v86, 2, v87, 5, v88, 9, 7, 21) → f_147(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6) :|: v102 = 2 * v93 && 6 + v102 <= 0
f_147(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6) → f_148(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: 5 + v103 = v102 && 11 + v103 <= 0
f_148(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_149(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: TRUE
f_149(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_150(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) :|: TRUE
f_150(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, v90, v86, v92, 2, v87, 5, v88, 9, 7, 21, 6, 11) → f_130(v83, v84, v85, v91, v93, v98, 1, v99, v100, v102, v103, v94, v95, v96, 0, 3, 4, 2, 5, 9) :|: TRUE
Combined rules. Obtained 4 rules
P rules:
f_25f_133(v1:0, v3:0, v5:0, 1 + 3 * v7:0, -3, 1 + 3 * v7:0 - 3, 1, v7:0, 3 * v7:0, 1, 2, 3 + v1:0, 3 + v3:0, 3 + v5:0, 0, 3, 4, 2, 5, 1 + v7:0, 9) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v3:0 % 4 = 0 && v1:0 % 4 = 0 && v5:0 % 4 = 0 && v7:0 > 2 && 8 < 3 * v7:0
f_133(v83:0, v84:0, v85:0, v91:0, v93:0, v98:0, 1, v86:0, v90:0, v87:0, v92:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, v88:0, 9) → f_133(v83:0, v84:0, v85:0, 3 * v91:0 + v93:0, v103:0, 3 * v91:0 + v93:0 + v103:0, 1, v91:0, 3 * v91:0, v93:0, 5 + v103:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, v98:0, 9) :|: v91:0 > 6 && v98:0 > 3 && 3 * v91:0 > 20 && v103:0 < -10 && 5 + v103:0 = 2 * v93:0
f_133(v83:0, v84:0, v85:0, v91:0, v93:0, v98:0, 1, v86:0, v90:0, v87:0, v92:0, v94:0, v95:0, v96:0, 0, 3, 4, 2, 5, v88:0, 9) → f_141(v83:0, v84:0, v85:0, v91:0, v93:0, v98:0, 0, v86:0, v90:0, v87:0, v92:0, v94:0, v95:0, v96:0, 3, 4, 2, 5, 1, v88:0, 9) :|: v98:0 < 4
f_25f_42(v1:0, v3:0, v5:0, v7:0, 1, 1 + v7:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 4, 2) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v3:0 % 4 = 0 && v1:0 % 4 = 0 && v5:0 % 4 = 0 && v7:0 < 3
Filtered unneeded arguments:

f_133(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21) → f_133(x4, x5, x6)
Removed division, modulo operations, cleaned up constraints. Obtained 5 rules.
P rules:
f_25f_133(1 + 3 * v7:0, -3, 1 + 3 * v7:0 - 3) :|: v7:0 > 2 && 8 < 3 * v7:0
f_133(v91:0, v93:0, v98:0) → f_133(3 * v91:0 + v93:0, v103:0, 3 * v91:0 + v93:0 + v103:0) :|: v98:0 > 3 && v91:0 > 6 && 3 * v91:0 > 20 && 5 + v103:0 = 2 * v93:0 && v103:0 < -10
f_133(v91:0, v93:0, v98:0) → f_141(v83:0, v84:0, v85:0, v91:0, v93:0, v98:0, 0, v86:0, v90:0, v87:0, v92:0, v94:0, v95:0, v96:0, 3, 4, 2, 5, 1, v88:0, 9) :|: v98:0 < 4
f_25f_25' :|: TRUE
f_25'f_42(v1:0, v3:0, v5:0, v7:0, 1, 1 + v7:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 4, 2) :|: v1:0 > 0 && v3:0 > 0 && v5:0 > 0 && v3:0 - 4 * div = 0 && v1:0 - 4 * div1 = 0 && v5:0 - 4 * div2 = 0 && v7:0 < 3 && v3:0 - 4 * div >= 0 && v3:0 - 4 * div < 4 && v1:0 - 4 * div1 >= 0 && v1:0 - 4 * div1 < 4 && v5:0 - 4 * div2 < 4 && v5:0 - 4 * div2 >= 0

(100) Obligation:

Rules:
f_25f_133(1 + 3 * v7:0, -3, 1 + 3 * v7:0 - 3) :|: v7:0 > 2 && 8 < 3 * v7:0
f_133(v91:0, v93:0, v98:0) → f_133(3 * v91:0 + v93:0, v103:0, 3 * v91:0 + v93:0 + v103:0) :|: v98:0 > 3 && v91:0 > 6 && 3 * v91:0 > 20 && 5 + v103:0 = 2 * v93:0 && v103:0 < -10
f_133(x, x1, x2) → f_141(x3, x4, x5, x, x1, x2, 0, x6, x7, x8, x9, x10, x11, x12, 3, 4, 2, 5, 1, x13, 9) :|: x2 < 4
f_25f_25' :|: TRUE
f_25'f_42(x14, x15, x16, x17, 1, 1 + x17, 0, 3 + x14, 3 + x15, 3 + x16, 3, 4, 2) :|: x14 > 0 && x15 > 0 && x16 > 0 && x15 - 4 * x18 = 0 && x14 - 4 * x19 = 0 && x16 - 4 * x20 = 0 && x17 < 3 && x15 - 4 * x18 >= 0 && x15 - 4 * x18 < 4 && x14 - 4 * x19 >= 0 && x14 - 4 * x19 < 4 && x16 - 4 * x20 < 4 && x16 - 4 * x20 >= 0
Start term: f_25

(101) IRS2T2 (EQUIVALENT transformation)

Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs:

f_25_21 → 1
f_133_21 → 2
f_141_21 → 3
f_25'_21 → 4
f_42_21 → 5

(102) Obligation:

START: 1;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX9 := x9;
oldX10 := x10;
oldX11 := x11;
oldX12 := x12;
oldX13 := x13;
oldX14 := x14;
oldX15 := x15;
oldX16 := x16;
oldX17 := x17;
oldX18 := x18;
oldX19 := x19;
oldX20 := x20;
oldX21 := nondet();
oldX22 := nondet();
oldX23 := nondet();
oldX24 := nondet();
oldX25 := nondet();
oldX26 := nondet();
oldX27 := nondet();
oldX28 := nondet();
oldX29 := nondet();
oldX30 := nondet();
oldX31 := nondet();
oldX32 := nondet();
oldX33 := nondet();
oldX34 := nondet();
oldX35 := nondet();
oldX36 := nondet();
oldX37 := nondet();
oldX38 := nondet();
oldX39 := nondet();
assume(oldX21 > 2 && 8 < 3 * oldX21);
x0 := 1 + 3 * oldX21;
x1 := -3;
x2 := 1 + 3 * oldX21 - 3;
x3 := oldX22;
x4 := oldX23;
x5 := oldX24;
x6 := oldX25;
x7 := oldX26;
x8 := oldX27;
x9 := oldX28;
x10 := oldX29;
x11 := oldX30;
x12 := oldX31;
x13 := oldX32;
x14 := oldX33;
x15 := oldX34;
x16 := oldX35;
x17 := oldX36;
x18 := oldX37;
x19 := oldX38;
x20 := oldX39;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX9 := x9;
oldX10 := x10;
oldX11 := x11;
oldX12 := x12;
oldX13 := x13;
oldX14 := x14;
oldX15 := x15;
oldX16 := x16;
oldX17 := x17;
oldX18 := x18;
oldX19 := x19;
oldX20 := x20;
oldX21 := nondet();
oldX22 := nondet();
oldX23 := nondet();
oldX24 := nondet();
oldX25 := nondet();
oldX26 := nondet();
oldX27 := nondet();
oldX28 := nondet();
oldX29 := nondet();
oldX30 := nondet();
oldX31 := nondet();
oldX32 := nondet();
oldX33 := nondet();
oldX34 := nondet();
oldX35 := nondet();
oldX36 := nondet();
oldX37 := nondet();
oldX38 := nondet();
oldX39 := nondet();
assume(oldX2 > 3 && oldX0 > 6 && 3 * oldX0 > 20 && 5 + oldX21 = 2 * oldX1 && oldX21 < -10);
x0 := 3 * oldX0 + oldX1;
x1 := oldX21;
x2 := 3 * oldX0 + oldX1 + oldX21;
x3 := oldX22;
x4 := oldX23;
x5 := oldX24;
x6 := oldX25;
x7 := oldX26;
x8 := oldX27;
x9 := oldX28;
x10 := oldX29;
x11 := oldX30;
x12 := oldX31;
x13 := oldX32;
x14 := oldX33;
x15 := oldX34;
x16 := oldX35;
x17 := oldX36;
x18 := oldX37;
x19 := oldX38;
x20 := oldX39;
TO: 2;

FROM: 2;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX9 := x9;
oldX10 := x10;
oldX11 := x11;
oldX12 := x12;
oldX13 := x13;
oldX14 := x14;
oldX15 := x15;
oldX16 := x16;
oldX17 := x17;
oldX18 := x18;
oldX19 := x19;
oldX20 := x20;
oldX21 := nondet();
oldX22 := nondet();
oldX23 := nondet();
oldX24 := nondet();
oldX25 := nondet();
oldX26 := nondet();
oldX27 := nondet();
oldX28 := nondet();
oldX29 := nondet();
oldX30 := nondet();
oldX31 := nondet();
assume(oldX2 < 4);
x0 := oldX21;
x1 := oldX22;
x2 := oldX23;
x3 := oldX0;
x4 := oldX1;
x5 := oldX2;
x6 := 0;
x7 := oldX24;
x8 := oldX25;
x9 := oldX26;
x10 := oldX27;
x11 := oldX28;
x12 := oldX29;
x13 := oldX30;
x14 := 3;
x15 := 4;
x16 := 2;
x17 := 5;
x18 := 1;
x19 := oldX31;
x20 := 9;
TO: 3;

FROM: 1;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX9 := x9;
oldX10 := x10;
oldX11 := x11;
oldX12 := x12;
oldX13 := x13;
oldX14 := x14;
oldX15 := x15;
oldX16 := x16;
oldX17 := x17;
oldX18 := x18;
oldX19 := x19;
oldX20 := x20;
oldX21 := nondet();
oldX22 := nondet();
oldX23 := nondet();
oldX24 := nondet();
oldX25 := nondet();
oldX26 := nondet();
oldX27 := nondet();
oldX28 := nondet();
oldX29 := nondet();
oldX30 := nondet();
oldX31 := nondet();
oldX32 := nondet();
oldX33 := nondet();
oldX34 := nondet();
oldX35 := nondet();
oldX36 := nondet();
oldX37 := nondet();
oldX38 := nondet();
oldX39 := nondet();
oldX40 := nondet();
oldX41 := nondet();
assume(0 = 0);
x0 := oldX21;
x1 := oldX22;
x2 := oldX23;
x3 := oldX24;
x4 := oldX25;
x5 := oldX26;
x6 := oldX27;
x7 := oldX28;
x8 := oldX29;
x9 := oldX30;
x10 := oldX31;
x11 := oldX32;
x12 := oldX33;
x13 := oldX34;
x14 := oldX35;
x15 := oldX36;
x16 := oldX37;
x17 := oldX38;
x18 := oldX39;
x19 := oldX40;
x20 := oldX41;
TO: 4;

FROM: 4;
oldX0 := x0;
oldX1 := x1;
oldX2 := x2;
oldX3 := x3;
oldX4 := x4;
oldX5 := x5;
oldX6 := x6;
oldX7 := x7;
oldX8 := x8;
oldX9 := x9;
oldX10 := x10;
oldX11 := x11;
oldX12 := x12;
oldX13 := x13;
oldX14 := x14;
oldX15 := x15;
oldX16 := x16;
oldX17 := x17;
oldX18 := x18;
oldX19 := x19;
oldX20 := x20;
oldX21 := nondet();
oldX22 := nondet();
oldX23 := nondet();
oldX24 := nondet();
oldX25 := nondet();
oldX26 := nondet();
oldX27 := nondet();
oldX28 := nondet();
oldX29 := nondet();
oldX30 := nondet();
oldX31 := nondet();
oldX32 := nondet();
oldX33 := nondet();
oldX34 := nondet();
oldX35 := nondet();
assume(oldX21 > 0 && oldX22 > 0 && oldX23 > 0 && oldX22 - 4 * oldX33 = 0 && oldX21 - 4 * oldX34 = 0 && oldX23 - 4 * oldX35 = 0 && oldX24 < 3 && oldX22 - 4 * oldX33 >= 0 && oldX22 - 4 * oldX33 < 4 && oldX21 - 4 * oldX34 >= 0 && oldX21 - 4 * oldX34 < 4 && oldX23 - 4 * oldX35 < 4 && oldX23 - 4 * oldX35 >= 0);
x0 := oldX21;
x1 := oldX22;
x2 := oldX23;
x3 := oldX24;
x4 := 1;
x5 := 1 + oldX24;
x6 := 0;
x7 := 3 + oldX21;
x8 := 3 + oldX22;
x9 := 3 + oldX23;
x10 := 3;
x11 := 4;
x12 := 2;
x13 := oldX25;
x14 := oldX26;
x15 := oldX27;
x16 := oldX28;
x17 := oldX29;
x18 := oldX30;
x19 := oldX31;
x20 := oldX32;
TO: 5;